{"id":36810,"date":"2019-10-30T17:29:10","date_gmt":"2019-10-30T11:59:10","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=36810"},"modified":"2019-10-30T17:29:10","modified_gmt":"2019-10-30T11:59:10","slug":"time-and-work-questions-for-rbi-grade-b-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/time-and-work-questions-for-rbi-grade-b-pdf\/","title":{"rendered":"Time and Work Questions for RBI Grade B PDF"},"content":{"rendered":"<h1><span style=\"text-decoration: underline;\"><strong>Time and Work Questions for RBI Grade B PDF<\/strong><\/span><\/h1>\n<p>Download Very important RBI Grade-B Time and Work Questions with solutions PDF. This PDF covers Top-15 Time and Work questions and answers for RBI Grade-B exam based on previous year asked questions from RBI and other Banking exams.<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/downloads\/6906\" target=\"_blank\" class=\"btn btn-danger  download\">Download Time and Work Questions for RBI Grade B PDF<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/rbi-grade-b-mock-tests\" target=\"_blank\" class=\"btn btn-info \">3 Free Mocks for RBI Grade-B (latest pattern with solutions)<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/rbi-grade-b-previous-papers\" target=\"_blank\" class=\"btn btn-primary \">Download RBI Grade-B Previous Papers PDF<\/a><\/p>\n<p><b>Question 1:\u00a0<\/b>12 men can finish a project in 20 days. 18 women can finish the same project in 16 days and 24 children can finish it in 18 days. 8 women and 16 children worked for 9 days and then left. In how many days will 10 men complete the remaining project ?<\/p>\n<p>a)\u00a0$10\\frac{1}{2}$<\/p>\n<p>b)\u00a010<\/p>\n<p>c)\u00a09<\/p>\n<p>d)\u00a0$11\\frac{1}{2}$<\/p>\n<p>e)\u00a0$9\\frac{1}{2}$<\/p>\n<p><b>Question 2:\u00a0<\/b>Sixteen men and twelve women can complete a work in 8 days, if 20 men can complete the same work in 16 days, in how many days 16 women can complete the same piece of work ?<\/p>\n<p>a)\u00a012<\/p>\n<p>b)\u00a08<\/p>\n<p>c)\u00a010<\/p>\n<p>d)\u00a015<\/p>\n<p>e)\u00a020<\/p>\n<p><b>Question 3:\u00a0<\/b>A project requires 12 women to complete it in 16 days. 12 women started working and after a few days from the start of the project, 4 women left. If the remaining project was completed in 18 days, in how many days the whole project was completed?<\/p>\n<p>a)\u00a0$24{1 \\over 2}$<\/p>\n<p>b)\u00a026<\/p>\n<p>c)\u00a022<\/p>\n<p>d)\u00a0$21{1 \\over 2}$<\/p>\n<p>e)\u00a020<\/p>\n<p><b>Question 4:\u00a0<\/b>B is ${4 \\over 3}$ times as efficient as A. If A can complete ${5 \\over 8}$th of a given task in 15 days, what fraction of the same task would remain incomplete if B works on it independently for 10 days only?<\/p>\n<p>a)\u00a0${3 \\over 4}$<\/p>\n<p>b)\u00a0${2 \\over 3}$<\/p>\n<p>c)\u00a0${5 \\over 8}$<\/p>\n<p>d)\u00a0${4 \\over 9}$<\/p>\n<p>e)\u00a0${2 \\over 7}$<\/p>\n<p><b>Question 5:\u00a0<\/b>B is 1.5 times as efficient as A. If A can complete ${6 \\over 7}$th of a given task in 12 days, what fraction of the same task would remain incomplete if B works on it independently for 6 days only?<\/p>\n<p>a)\u00a0${2 \\over 5}$<\/p>\n<p>b)\u00a0${3 \\over 5}$<\/p>\n<p>c)\u00a0${4 \\over {10}}$<\/p>\n<p>d)\u00a0${5 \\over {14}}$<\/p>\n<p>e)\u00a0${3 \\over 7}$<\/p>\n<p><b>Question 6:\u00a0<\/b>A and B together can complete a particular task in 6 days. If A alone can complete the same task in 10 days, how many days will B take to complete the task if he works alone ?<\/p>\n<p>a)\u00a015<\/p>\n<p>b)\u00a016<\/p>\n<p>c)\u00a014<\/p>\n<p>d)\u00a012<\/p>\n<p>e)\u00a0None of these<\/p>\n<p><b>Question 7:\u00a0<\/b>A and B together can complete a particular task in 8 days. If B alone can complete the same task in 10 days, how many days will A take to complete the task if he works alone?<\/p>\n<p>a)\u00a028<\/p>\n<p>b)\u00a036<\/p>\n<p>c)\u00a040<\/p>\n<p>d)\u00a032<\/p>\n<p>e)\u00a0None of these<\/p>\n<p><b>Question 8:\u00a0<\/b>A work can be finished In 14 days by 36 workers. If the work were to be finished in 8 days, how many additional workers would be required ?<\/p>\n<p>a)\u00a029<\/p>\n<p>b)\u00a033<\/p>\n<p>c)\u00a023<\/p>\n<p>d)\u00a031<\/p>\n<p>e)\u00a027<\/p>\n<p><b>Question 9:\u00a0<\/b>A and B together can complete a piece of work in 16 days. B alone can complete the same work in 24 days. In how many days can A alone complete the same work?<\/p>\n<p>a)\u00a034 days<\/p>\n<p>b)\u00a050 days<\/p>\n<p>c)\u00a048 days<\/p>\n<p>d)\u00a042 days<\/p>\n<p>e)\u00a0None &amp;these;<\/p>\n<p><b>Question 10:\u00a0<\/b>The part of work done by A in 1 day is 1\/5th of the part of work done by B in 1 day. A\u2019 s 1 day\u2019s work is 3\/4th of C\u2019s 1 day\u2019s work. C alone can complete the work in 24 days. In how many days will B alone do the same work ?<\/p>\n<p>a)\u00a0$8\\frac{2}{5}days$<\/p>\n<p>b)\u00a0$6\\frac{2}{5}days$<\/p>\n<p>c)\u00a0$4\\frac{2}{5}days$<\/p>\n<p>d)\u00a0$3\\frac{2}{5}days$<\/p>\n<p>e)\u00a0None of these<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/rbi-grade-b-mock-tests\" target=\"_blank\" class=\"btn btn-info \">3 Free Mocks for RBI Grade-B (latest pattern with solutions)<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/blog\/rbi-grade-b-study-material-notes-pdf\/\" target=\"_blank\" class=\"btn btn-primary \">RBI Grade-B Free Study Material (Download PDF)<\/a><\/p>\n<p><b>Question 11:\u00a0<\/b>A alone can finish a piece of work in 42 days. B is 20% more efficient than A and C is 40% more efficient than B. In how many days B and C working together can finish the same piece of work? (in days)<\/p>\n<p>a)\u00a0$11\\frac{5}{12}$<\/p>\n<p>b)\u00a0$13\\frac{5}{12}$<\/p>\n<p>c)\u00a0$15\\frac{1}{12}$<\/p>\n<p>d)\u00a0$14\\frac{7}{12}$<\/p>\n<p>e)\u00a0$12\\frac{11}{12}$<\/p>\n<p><b>Question 12:\u00a0<\/b>A 240-metre long train running at the speed of 60 kmph will take how much time to cross another 270-metre long train running in opposite direction at the speed of 48 kmph?<\/p>\n<p>a)\u00a017 seconds<\/p>\n<p>b)\u00a03 seconds<\/p>\n<p>c)\u00a012 seconds<\/p>\n<p>d)\u00a08 seconds<\/p>\n<p>e)\u00a0None of these<\/p>\n<p><b>Question 13:\u00a0<\/b>A water tank has one inlet, A and one outlet, B. A takes 5 hours to fill the empty tank, when B is not open and B takes 8 hours to empty the full tank. If the tank is three fifth full, how much time will it take to fill the tank completely when both A and B are opened simultaneously ? (in hours)<\/p>\n<p>a)\u00a0$6\\frac{1}{3}$<\/p>\n<p>b)\u00a0$4\\frac{1}{3}$<\/p>\n<p>c)\u00a0$8\\frac{1}{3}$<\/p>\n<p>d)\u00a0$5\\frac{1}{3}$<\/p>\n<p>e)\u00a0$7\\frac{1}{3}$<\/p>\n<p><b>Question 14:\u00a0<\/b>A project manager hired 16 men to complete a project in 38 days. However, after 30 days, he realized that only 5\/9th of the work is complete. How many more men does he need to hire to complete the project on time ?<\/p>\n<p>a)\u00a048<\/p>\n<p>b)\u00a024<\/p>\n<p>c)\u00a032<\/p>\n<p>d)\u00a016<\/p>\n<p>e)\u00a036<\/p>\n<p><b>Question 15:\u00a0<\/b>Two stations, A and B are 850 km apart from each other. One train starts from station A at 5 am and travels towards station at 62 kmph. Another train starts from station B at 7 am and travels towards station A at 59 kmph. At what time will they meet<\/p>\n<p>a)\u00a01 pm<\/p>\n<p>b)\u00a011 : 45 am<\/p>\n<p>c)\u00a012 : 30 pm<\/p>\n<p>d)\u00a01 : 30 pm<\/p>\n<p>e)\u00a0None of these<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/banking-study-material\" target=\"_blank\" class=\"btn btn-alone \">Free Banking Study Material &#8211; 18000 Practice Questions<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/blog\/general-knowledge-questions-and-answers-for-competitive-exams-pdf\/\" target=\"_blank\" class=\"btn btn-info \">Download Free General Knowledge Questions PDF<\/a><\/p>\n<p><span style=\"text-decoration: underline;\"><strong>Answers &amp; Solutions:<\/strong><\/span><\/p>\n<p><strong>1)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>12 men can finish the project in 20 days.<\/p>\n<p>=&gt; 1 day work of 1 man = $\\frac{1}{12 \\times 20} = \\frac{1}{240}$<\/p>\n<p>Similarly,\u00a0=&gt; 1 day work of 1 woman = $\\frac{1}{18 \\times 16} = \\frac{1}{288}$<\/p>\n<p>=&gt; 1 day work of 1 children = $\\frac{1}{24 \\times 18} = \\frac{1}{432}$<\/p>\n<p>8 women and 16 children worked for 9 days<\/p>\n<p>=&gt; Work done in 9 days = $9 \\times (8 \\times \\frac{1}{288}) + (16 \\times \\frac{1}{432})$<\/p>\n<p>= $9 \\times (\\frac{1}{36} + \\frac{1}{27}) = 9 \\times \\frac{7}{108}$<\/p>\n<p>= $\\frac{7}{12}$<\/p>\n<p>=&gt; Work left = $1 &#8211; \\frac{7}{12} = \\frac{5}{12}$<\/p>\n<p>$\\therefore$ Number of days taken by 10 men to complete the remaining work<\/p>\n<p>= $\\frac{\\frac{10}{240}}{\\frac{5}{12}} = \\frac{1}{24} \\times \\frac{12}{5} = \\frac{1}{10}$<\/p>\n<p>Thus, 10 men will complete the remaining the work in 10 days.<\/p>\n<p><strong>2)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>Let work done by 1 man be $x$ and 1 woman be $y$<\/p>\n<p>Now, 16 men and 12 women complete work in 8 days.<\/p>\n<p>=&gt; $16x + 12y = \\frac{1}{8}$ &#8212;&#8212;&#8212;Eqn(i)<\/p>\n<p>Also, $20x = \\frac{1}{16}$<\/p>\n<p>=&gt; $16x = \\frac{1}{20}$<\/p>\n<p>Putting it in eqn(i), we get\u00a0:<\/p>\n<p>=&gt; $\\frac{1}{20} + 12y = \\frac{1}{8}$<\/p>\n<p>=&gt; $12y = \\frac{1}{8} &#8211; \\frac{1}{20} = \\frac{3}{40}$<\/p>\n<p>=&gt; $y = \\frac{3}{40 \\times 12} = \\frac{1}{160}$<\/p>\n<p>Thus, 16 women can complete the work in = $16 \\times \\frac{1}{160} = \\frac{1}{10}$<\/p>\n<p>$\\therefore$ 16 women can complete the work in 10 days.<\/p>\n<p><strong>3)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>Let the work done by 8 women in 18 days = $W_2$<\/p>\n<p>=&gt; $\\frac{M_1 \\times D_1}{W_1} = \\frac{M_2 \\times D_2}{W_2}$<\/p>\n<p>=&gt; $\\frac{12 \\times 16}{1} = \\frac{8 \\times 18}{W_2}$<\/p>\n<p>=&gt; $W_2 = \\frac{18}{12 \\times 2} = \\frac{3}{4}$<\/p>\n<p>Thus, remaining work = $1 &#8211; \\frac{3}{4} = \\frac{1}{4}$<\/p>\n<p>This part of work was done by 12 women.<\/p>\n<p>$\\therefore$ Time taken by them = 4 days<\/p>\n<p>=&gt; Required time = 18 + 4 = 22 days<\/p>\n<p><strong>4)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>Let efficiency of A = $3x$ units\/day<\/p>\n<p>=&gt; Efficiency of B = $\\frac{4}{3} \\times 3x = 4x$ units\/day<\/p>\n<p>Let Work to be done = 8 units<\/p>\n<p>=&gt; Work done by A in 15 days = $15 \\times 3x = \\frac{5}{8} \\times 8$<\/p>\n<p>=&gt; $45x = 5$<\/p>\n<p>=&gt; $x = \\frac{5}{45} = \\frac{1}{9}$<\/p>\n<p>Thus, B&#8217;s 1 day work = $4 \\times \\frac{1}{9} = \\frac{4}{9}$ units<\/p>\n<p>Work done by B in 10 days = $\\frac{4}{9} \\times 10 = \\frac{40}{9}$ units<\/p>\n<p>=&gt; Work left = $8 &#8211; \\frac{40}{9} = \\frac{32}{9}$<\/p>\n<p>$\\therefore$ Fraction of work left = $\\frac{\\frac{32}{9}}{8}$<\/p>\n<p>= $\\frac{4}{9}$<\/p>\n<p><strong>5)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>Let efficiency of A = $2x$ units\/day<\/p>\n<p>=&gt; Efficiency of B = $1.5 \\times 2x = 3x$ units\/day<\/p>\n<p>Let Work to be done = 7 units<\/p>\n<p>=&gt; Work done by A in 12 days = $12 \\times 2x = \\frac{6}{7} \\times 7$<\/p>\n<p>=&gt; $24x = 6$<\/p>\n<p>=&gt; $x = \\frac{6}{24} = \\frac{1}{4}$<\/p>\n<p>Thus, B&#8217;s 1 day work = $3 \\times \\frac{1}{4} = \\frac{3}{4}$ units<\/p>\n<p>Work done by B in 6 days = $\\frac{3}{4} \\times 6 = \\frac{9}{2}$ units<\/p>\n<p>=&gt; Work left = $7 &#8211; \\frac{9}{2} = \\frac{5}{2}$<\/p>\n<p>$\\therefore$ Fraction of work left = $\\frac{\\frac{5}{2}}{7}$<\/p>\n<p>= $\\frac{5}{14}$<\/p>\n<p><strong>6)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>Let the total work to be done = 30 units<\/p>\n<p>Rate at which A alone finishes the task = $\\frac{30}{10}$ = 3 units\/day<\/p>\n<p>Rate at which\u00a0A &amp; B together finishes the work = $\\frac{30}{6}$ = 5 units\/day<\/p>\n<p>=&gt; Rate at which B alone finishes the work = 5 &#8211; 3 = 2 units\/day<\/p>\n<p>$\\therefore$ Time taken by B to complete the task = $\\frac{30}{2}$ = 15 days<\/p>\n<p><strong>7)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>Let the total work to be done = 40 units<\/p>\n<p>Rate at which B alone finishes the task = $\\frac{40}{10}$ = 4 units\/day<\/p>\n<p>Rate at which\u00a0A &amp; B together finishes the work = $\\frac{40}{8}$ = 5 units\/day<\/p>\n<p>=&gt; Rate at which A alone finishes the work = 5 &#8211; 4 = 1 units\/day<\/p>\n<p>$\\therefore$ Time taken by A to complete the task = $\\frac{40}{1}$ = 40 days<\/p>\n<p><strong>8)\u00a0Answer\u00a0(E)<\/strong><\/p>\n<p>Using the formula, $M_1 D_1 = M_2 D_2$<\/p>\n<p>=&gt; $36 \\times 14 = M_2 \\times 8$<\/p>\n<p>=&gt; $M_2 = \\frac{36 \\times 14}{8} = 63$<\/p>\n<p>$\\therefore$ Additional workers = 63 &#8211; 36 = 27<\/p>\n<p><strong>9)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>A&#8217;s 1 day&#8217;s work = $\\frac{1}{16} &#8211; \\frac{1}{24}$<\/p>\n<p>= $\\frac{3 &#8211; 2}{48} = \\frac{1}{48}$<\/p>\n<p>Hence, A alone will complete the work in 48 days.<\/p>\n<p><strong>10)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>C&#8217;s 1 day&#8217;s work = $\\frac{1}{24}$<\/p>\n<p>=&gt; A&#8217;s 1 day&#8217;s work =\u00a0$\\frac{3}{4}$ *\u00a0$\\frac{1}{24}$<\/p>\n<p>=\u00a0$\\frac{1}{32}$<\/p>\n<p>=&gt; B&#8217;s 1 day&#8217;s work = 5 *\u00a0$\\frac{1}{32}$ =\u00a0$\\frac{5}{32}$<\/p>\n<p>$\\therefore$ B alone will finish the work in =\u00a0$\\frac{32}{5}$ days<\/p>\n<p>= 6$\\frac{2}{5}$ days<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/rbi-grade-b-previous-papers\" target=\"_blank\" class=\"btn btn-primary \">Download RBI Grade-B Previous Papers PDF<\/a><\/p>\n<p><strong>11)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>Let rate at which A finishes the work = $100x$ units\/day<\/p>\n<p>=&gt; Rate at which B finishes the work = $\\frac{120}{100} \\times 100x = 120x$ units\/day<\/p>\n<p>Rate at which C finishes the work = $\\frac{140}{100} \\times 120x = 168x$ units\/day<\/p>\n<p>Work done by A in 42 days = $42 \\times 100x = 4200x$ units\/day<\/p>\n<p>Rate at which B and C finishes the work = $120x + 168x = 288x$ units\/day<\/p>\n<p>$\\therefore$ Time taken by B and C together to finish the same work = $\\frac{4200x}{288x}$<\/p>\n<p>= $\\frac{175}{12} = 14\\frac{7}{12}$ days<\/p>\n<p><strong>12)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>Length of first train = 240 m and second train = 270 m<\/p>\n<p>Total length of the two trains = 240 + 270 = 510 m<\/p>\n<p>Speed of first train = 60 kmph and second train = 48 kmph<\/p>\n<p>Since, the trains are moving in opposite direction, thus relative speed = 60 + 48 = 108 kmph<\/p>\n<p>= $(108 \\times \\frac{5}{18})$ m\/s = $30$ m\/s<\/p>\n<p>Let time taken = $t$ seconds<\/p>\n<p>Using, time = distance\/speed<\/p>\n<p>=&gt; $t=\\frac{510}{30}=17$ seconds<\/p>\n<p>=&gt; Ans &#8211; (A)<\/p>\n<p><strong>13)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>Part of tank filled by A and B in 1 hour<\/p>\n<p>= $\\frac{1}{5} &#8211; \\frac{1}{8} = \\frac{3}{40}$<\/p>\n<p>=&gt; Time taken to fill the tank completely = $\\frac{40}{3}$ hrs<\/p>\n<p>$\\therefore$ Time taken to fill two-fifth part of tank<\/p>\n<p>= $\\frac{2}{5} \\times \\frac{40}{3}$<\/p>\n<p>= $\\frac{16}{3} = 5\\frac{1}{3}$ hrs<\/p>\n<p><strong>14)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>It is clear from the question,<br \/>\n16 men do 5\/9th of work in 30 days.<br \/>\nLet &#8216;n&#8217; no. of more men are required to complete the remaining work.<br \/>\nHence, (n+16) men do 4\/9th of work in 8 days.<br \/>\nWe know that,<br \/>\n$\\frac{Amount of work}{No. of men\\times{No. of days}}=Constant$.<br \/>\nHence,<br \/>\n$\\frac{5\/9}{16\\times30}=\\frac{4\/9}{(n+16)\\times8}$.<br \/>\n$n=32$.<br \/>\nHence, Option C is correct.<\/p>\n<p><strong>15)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>At 7am the distance between the two trains will be 726kms.<br \/>\nSince the trains are moving in opposite directions, the relative speed is the sum of individual speeds.<br \/>\nThe relative speed is 121kmph. and the distance is 726 kms.<br \/>\nThe time taken to cover 726kms at a speed of 121kmph is nothing but the time taken by the two trains to meet each other.<br \/>\nTime taken to meet = 726\/121 = 6 hours<br \/>\nHence the trains would meet at 1:00 pm.<br \/>\nHence Option A is the correct answer.<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/rbi-grade-b-mock-tests\" target=\"_blank\" class=\"btn btn-info \">3 Free Mocks for RBI Grade-B (latest pattern with solutions)<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.cracku.app&amp;hl=en\" target=\"_blank\" class=\"btn btn-primary \">Download RBI Grade-B Free Preparation App<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Time and Work Questions for RBI Grade B PDF Download Very important RBI Grade-B Time and Work Questions with solutions PDF. This PDF covers Top-15 Time and Work questions and answers for RBI Grade-B exam based on previous year asked questions from RBI and other Banking exams. Question 1:\u00a012 men can finish a project in [&hellip;]<\/p>\n","protected":false},"author":49,"featured_media":36814,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[8,169,125,243],"tags":[542],"class_list":{"0":"post-36810","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-banking","8":"category-downloads","9":"category-featured","10":"category-rbi","11":"tag-rbi-grade-b"},"better_featured_image":{"id":36814,"alt_text":"Time and Work Questions for RBI Grade B PDF","caption":"Time and Work Questions for RBI Grade B PDF","description":"Time and Work Questions for RBI Grade B 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