Download CMAT 2022 Time and Work Questions pdf by Cracku. Very Important Time and Work Questions for CMAT 2022 based on asked questions in previous exam papers. These questions will help your CMAT preparation. So kindly download the PDF for reference and do more practice.<\/p>\n
Download Time and Work Questions for CMAT<\/a><\/p>\n Get 5 CMAT mocks at just Rs.299<\/a><\/p>\n Download CMAT previous papers PDF<\/a><\/p>\n Question 1:\u00a0<\/b>A pump can fill a tank with water in 2 hours. Because of a leak, it took 2$\\frac{1}{3}$ hours to fill the tank. The leak can drain all the water of the tank in<\/p>\n a)\u00a04$\\frac{1}{3}$ hours<\/p>\n b)\u00a07 hours<\/p>\n c)\u00a08 hours<\/p>\n d)\u00a014 hours<\/p>\n e)\u00a0None of these<\/p>\n Question 2:\u00a0<\/b>Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 30 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank?<\/p>\n a)\u00a044 hrs<\/p>\n b)\u00a012 hrs<\/p>\n c)\u00a018 hrs<\/p>\n d)\u00a036 hrs<\/p>\n e)\u00a0None of these<\/p>\n Question 3:\u00a0<\/b>A, B and C together earn Rs. 300 per day, while A and C together earn Rs.188 and B and C together earn Rs.152. The daily earning of A and B is:<\/p>\n a)\u00a0Rs. 240<\/p>\n b)\u00a0Rs. 200<\/p>\n c)\u00a0Rs. 260<\/p>\n d)\u00a0Rs. 160<\/p>\n e)\u00a0None of these<\/p>\n Question 4:\u00a0<\/b>If 25 binders bind 25 books in 25 days. How many binders can bind 10 books in 10 days?<\/p>\n a)\u00a025<\/p>\n b)\u00a010<\/p>\n c)\u00a015<\/p>\n d)\u00a020<\/p>\n e)\u00a0None of these<\/p>\n Question 5:\u00a0<\/b>12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?<\/p>\n a)\u00a09<\/p>\n b)\u00a0112<\/p>\n c)\u00a024<\/p>\n d)\u00a018<\/p>\n e)\u00a0None of these<\/p>\n Download CMAT Previous Papers PDF<\/a><\/p>\n Take CMAT Mock Tests<\/a><\/p>\n Question 6:\u00a0<\/b>A firm has tractors of four models A, B, C and D. Four tractors (two of model B and one each of models C and D) plough a field in 2 days. Two models A tractors and one model C tractor take 3 days to do this job. Three tractors on each of models A, B and C take 4 days to do the same task. How long will it take to do the job if a team is made up of four tractors of different models?<\/p>\n a)\u00a0$\\frac{10}{7}$ days<\/p>\n b)\u00a0$2$ days<\/p>\n c)\u00a0$\\frac{13}{7}$ days<\/p>\n d)\u00a0$\\frac{12}{7}$ days<\/p>\n e)\u00a0None of these<\/p>\n Question 7:\u00a0<\/b>When all of them are opened together, 4 taps of equal efficiency can fill an empty tank in 10 hours. Find the time in which 6 taps working together can fill 2 tanks.<\/p>\n a)\u00a011 hours<\/p>\n b)\u00a08.67 hours<\/p>\n c)\u00a015 hours<\/p>\n d)\u00a010 hours<\/p>\n e)\u00a013.33 hours<\/p>\n Question 8:\u00a0<\/b>8 students, each working for 10 hours a day, can complete a project in 16 days. If 4 students leave after 5 days, how many more hours per day should the remaining students put in so that the project is completed on time?<\/p>\n a)\u00a020 hours<\/p>\n b)\u00a010 hours<\/p>\n c)\u00a08 hours<\/p>\n d)\u00a06 hours<\/p>\n e)\u00a05 hours<\/p>\n Question 9:\u00a0<\/b>If Azhar can eat a cake in 6 minutes, Basha in 3 minutes and Carina in 2 minutes, how long will all of them together take to finish a cake?<\/p>\n a)\u00a01 minute<\/p>\n b)\u00a01.5 minutes<\/p>\n c)\u00a02 minutes<\/p>\n d)\u00a02.5 minutes<\/p>\n e)\u00a0None of the above<\/p>\n Question 10:\u00a0<\/b>A, B and C can together finish a project in 1 hour. A alone can finish it in 6 hours, C alone can finish it in 2 hours. How long will B take to finish the project working alone?<\/p>\n a)\u00a01 hour<\/p>\n b)\u00a04 hours<\/p>\n c)\u00a05 hours<\/p>\n d)\u00a03 hours<\/p>\n e)\u00a0None of the above<\/p>\n Take CMAT Mock Tests<\/a><\/p>\n Enroll to CMAT 2022 Crash Course<\/a><\/p>\n Answers & Solutions:<\/strong><\/span><\/p>\n 1)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Part of tank emptied in 1 hour by the $\\frac{1}{2}$ – $\\frac{2}{7}$ = $\\frac{1}{14}$<\/p>\n The leak will empty the tank in 14 hours.<\/p>\n 2)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Part filled by (A + B) in 1 hour = (1\/5+1\/20)=1\/4<\/p>\n So, A and B together can fill the tank in 4 hours.<\/p>\n Time taken to fill the tank with the leak = 4 hours + 30 mins = 4.5 hours.<\/p>\n Hence, rate of work done with leak = 1\/4.5 = 2\/9<\/p>\n Therefore, Work done by the leak in 1 hour =1\/4-2\/9=1\/36<\/p>\n Leak will empty the tank in 36 hrs<\/p>\n 3)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Daily earning of B = Total earning of the 3 – Earning of A and B => 300 – 188 = 112 4)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Let the number of binders required be x. 5)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Capacity of the tank= (12 \u00d7 13.5) litres = 162 litres. 6)\u00a0Answer\u00a0(D)<\/strong><\/p>\n 2\/B+1\/C+1\/D=1\/2 \u2026\u2026\u2026\u2026\u2026.(i) 7)\u00a0Answer\u00a0(E)<\/strong><\/p>\n Amount of work involved for one tank = 4*10*1 8)\u00a0Answer\u00a0(B)<\/strong><\/p>\n The total amount of work required = 8*10*16 9)\u00a0Answer\u00a0(A)<\/strong><\/p>\n If x is the work involved, Azhar\u2019s rate of work is x\/6 and Basha\u2019s is x\/3 and Carina\u2019s is x\/2. Together it is x\/6 + x\/3 + x\/2 = x. Time taken is x divided by x = 1 minute.<\/p>\n 10)\u00a0Answer\u00a0(D)<\/strong><\/p>\n If the work involved in the project is x, the rate of all of them together is x\/1. Rate of work of A is x\/6 and that of C is x\/2. So, rate of B alone is $\\frac {x}{1} – (\\frac{x}{6}+ \\frac{x}{2})=\\frac{x}{3}$.\u00a0Time taken by B working alone is x divided by x\/3 = 3 hours.<\/p>\n
\nleak<\/p>\n
\nNow it has been given that the daily earning of B and C is 152. Hence the daily earning of C would be 152 – 112 = 40
\nNow Daily earning of A = 188 – 40 = 148
\nThus, the daily earning of B and A is 148 + 112 = 260<\/p>\n
\nLess books, less binders (Direct Variation)
\nLess days, more binders (Indirect Variation)
\nBooks \u00a0 \u00a0 \u00a0Days \u00a0 \u00a0 \u00a0 Binders
\n25 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 25 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 25
\n10 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 10 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0x
\n\u21d2 x =10\/25 * 25\/10 * 25 = 25 binders<\/p>\n
\nCapacity of each bucket = 9 litres.
\nNumber of buckets needed =(162\/9)= 18.<\/p>\n
\n2\/A+1\/C=1\/3\u2026\u2026\u2026\u2026\u2026\u2026(ii) and
\n1\/A+1\/B+1\/C=1\/4 \u2026\u2026\u2026…(iii)
\nSubtracting Eq. (i) from Eq. (ii), we get2\/A-2\/B-1\/D=1\/6…(iv)
\nSubtracting Eq. (iii) from Eq. (ii), we get 1\/A-1\/B=1\/12 \u21d22\/A-2\/B=1\/6\u2026\u2026\u2026\u2026..(v)
\nSubracting Eq. (v) from Eq. (iv), we get 1\/D=1\/3 \u2026\u2026\u2026………….(vi)
\nAdding Eqs. (iii) and (iv), we get 1\/A+1\/B+1\/C+1\/D=1\/4+1\/3=7\/12
\nHence, A, B, C and D will take 12\/7 days to do the required job.<\/p>\n
\nAmount of work involved for 2 tanks = 4*10*2
\nSo, time required = 4*10*2\/6 = 13.33 hours<\/p>\n
\nWork completed in 5 days = 8*10*5
\nWork left = 8*10*11
\nNumber of days remaining = 11
\nNumber of students = 4
\nSo, number of hours to be put in per day = 8*10*11\/11*4 = 20 hours
\nSo, number of additional hours that each of the remaining students should put in to complete the work on time = 20 – 10 = 10 hours.<\/p>\n