Time and Work Questions for RRB NTPC Set-2 PDF
Download RRB NTPC Time and Work Questions and Answers Set-2 PDF. Top 15 RRB NTPC Time and Work questions based on asked questions in previous exam papers very important for the Railway NTPC exam.
Download Time and Work Questions for RRB NTPC Set-2 PDF
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Question 1: A and B can complete a piece of work in 6 and 12 days separately. If they work jointly, how long will they take to complete this piece of work ?
a) 9 days
b) 18 days
c) 6 days
d) 4 days
Question 2: A pipe can fill a tank in 6 hours and an outlet to the tank can fill it in 8 hours. If Both the valves were opened at 8:00 am in the morning but after sometime outlet valve was closed. It is seen that tank was full at 5:00 pm. At what time was outlet valve closed?
a) 1:00 pm
b) 2:00 pm
c) 11:00 am
d) 12:00 pm
Question 3: A train runs at the speed of 72 Km per hour The distance between any two stations is 42 km and the train stops at each stations for 5 minutes. Then the time taken by train to go 350 km is
a) 6 hours 31 minutes 40 seconds
b) 5 hours 31 minutes
c) 5 hours 31 minutes 40 seconds
d) 5 hours 30 minutes 40 seconds
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Question 4: A train of length 600 m is travelling at a speed of 54 kmph. A person is running on a platform in the direction opposite to that of the train at a speed of 5 m/s. Find the time taken by the train to cross the person?
a) 20 seconds
b) 30 seconds
c) 40 seconds
d) 1 minute
Question 5: 10 men and 20 women finish a work in 20 days. If each man does twice the amount of work done by a woman, how many men will be required to complete the work in 1 day?
a) 200 men
b) 400 men
c) 100 men
d) 800 men
Question 6: Ram and Krishna can together complete a piece of work in 40 days. Ram alone can complete the work in 60 days. How long will Krishna take to complete the work if he is working alone?
a) 30 days
b) 60 days
c) 90 days
d) 120 days
Question 7: In a journey of 1200 km, a car was slowed down by bad roads. Its average speed for the trip was reduced by 10 kmph and the time of travel was increased by 4 hours. The total journey time in this case was
a) 15 hours
b) 20 hours
c) 24 hours
d) 30 hours
Question 8: Chetan can do a piece of work in 10 days and Dhanush can do the same work in 15 days. They work together for 5 days. The fraction of work left is
a) 1/6
b) 1/8
c) 1/3
d) 1/4
Question 9: A train of length 50 meters travelling at 100 kmph crosses another train of length 100 m travelling in the same direction in 7.5 seconds. What is the approximate time taken by the second train to cross a pole?
a) 43 seconds
b) 33 seconds
c) 23 seconds
d) 13 seconds
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Question 10: A tap can fill an empty tank in 4 hours. Another tap can empty a full tank in 6 hours. If both the taps are opened, what is the time taken by an empty tank to get filled?
a) 12 hours
b) 15 hours
c) 9 hours
d) 8 hours
Question 11: 18 persons can do a piece of work in 150 days. In how many days can 108 persons complete the same piece of work?
a) 30
b) 25
c) 20
d) 15
Question 12: P and Q can complete a piece of work in 40 days and 120 days respectively. If they work together, in how many days will the same piece of work be completed?
a) 160
b) 15
c) 20
d) 30
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Question 13: The speed of a car, excluding stoppages, is 80 kmph. Including stoppages, the speed of the car is 50kmph. For how many minutes does the car stop per hour?
a) 15
b) 22.5
c) 30
d) 37.5
Question 14: If A and B together can complete a piece of work in 18 days, B and C together can complete the same piece of work in 36 days and C and A together can complete the same piece of work in 24 days, then in how many days can A, B and C together can complete the same piece of work?
a) 8
b) 12
c) 14
d) 16
Question 15: A and B can do a piece of work in 10 days and 15 days respectively. In how many days will they complete the same work if they work together?
a) 6 days
b) 5 days
c) 7 days
d) 8 days
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Answers & Solutions:
1) Answer (D)
Time taken when they work together = $ \frac {1}{\frac{1}{6}+\frac{1}{12}}$
= 4 days
2) Answer (D)
Work done in an hour when both pipe were opened = $\frac{1}{6} – \frac{1}{8} = \frac{1}{24}$
Let’s say after x hours outlet pipe was closed, so total tank filled in that time = $\frac{x}{24}$
After that for remaining (9-x) hours, tank filled = $\frac{(9-x)}{6}$
Hence, $\frac{x}{24}$ + $\frac{(9-x)}{6}$ = 1
Now after solving for x, x=4 hours
So answer will be d
3) Answer (C)
-Number of stations in 350 kilometers = 350/ 42 = 50/6 = 8 stations.
Time stopped at stations = 8 x 5 = 2/3 hrs
Time taken for travel = 350/72 + 2/3 = 5 hours 31 minutes 40 seconds
4) Answer (B)
Relative distance to be covered = length of the train = 600 m
Relative speed = Speed of the train + Speed of the person (opposite direction)
= 54 * 5/18 m/s + 5 m/s = 15 + 5 = 20 m/s
So, time taken = 600/20 = 30 seconds
5) Answer (B)
Work done by 2 women = Work done by 1 man
Work done by 20 women = Work done by 10 men
So, 10 men + 10 men = 20 men take 20 days to finish the work
So, to complete it in 1 day, the number of men required = 20*20 = 400
6) Answer (D)
Let the number of days taken by Krishna to complete the work be N.
Ram’s one-day work + Krishna’s one-day work = 1/60 + 1/N
Total one day work = 1/40
=> 1/60 + 1/N = 1/40 => 1/N = 1/40 – 1/60 = 1/120
=> N = 120 days
7) Answer (C)
Let the usual speed be s.
So, time of journey = 1200/s
Reduced speed = s-10
Time of journey = 1200/(s-10)
So, 1200/(s-10) – 1200/s = 4
Solving, we get, s = 60 kmph
So, time of journey = 1200/60 = 20 hours
Time of journey in this case = 24 hours
8) Answer (A)
Chetan’s one-day work = 1/10
Dhanush’s one-day work = 1/15
One-day work of Chetan + Dhanush = 1/10 + 1/15 = 10/60 = 1/6
So, number of days required to complete the work = 1/(1/6) = 6 days
So, after 5 days, the fraction of work remaining = (6-5)/6 = 1/6
9) Answer (D)
Let the speed of the second train be ‘s’.
Case 1: Relative speed = 100 – s
Relative distance = 50 m + 100 m = 150 m
Time taken = 7.5 seconds
Relative speed = Relative distance / time = 150 / 7.5 = 20 m/s = 72 kmph
So, speed of the second train = 28 kmph = 7.77 m/s
Time taken by the second train to cross a pole = Relative distance / Speed
= 100/7.77 = 12.85 seconds = 13 seconds approximately
10) Answer (A)
1st tap’s 1 hour work = ¼
2nd tap’s 1 hour work = -1/6
One hour work of both the taps together = ¼ – 1/6 = 1/12
So, time taken to fill an empty tank = 1/(1/12) = 12 hours
11) Answer (B)
Total work = 18 * 150
108 persons can complete it in $\frac{18*150}{108}$
= $\frac{150}{6}$ = 25 days
12) Answer (D)
Let the total work be x.
P completes $\frac{x}{40}$ work every day.
Q completes $\frac{x}{120}$ work every day.
P + Q => $\frac{x}{40}$ + $\frac{x}{120}$ = $\frac{1}{30}$
=> P and Q together will take 30 days to complete the work.
13) Answer (B)
In 1 hour the car can travel 80 km if stoppages are excluded.
In the same time, the care can travel only 50 km if stoppages are included.
=> 30 km less because of stoppages
Time taken to cover 30km = $\frac{30}{80}$ = 0.375 hours = 0.375 * 60 minutes = 22.5 minutes
14) Answer (D)
$\frac{1}{a} + \frac{1}{b}$ = $\frac{1}{18}$
$\frac{1}{a} + \frac{1}{c}$ = $\frac{1}{24}$
$\frac{1}{b} + \frac{1}{c}$ = $\frac{1}{36}$
=> 2($\frac{1}{a} + \frac{1}{b} + \frac{1}{c}$) = $\frac{1}{18}$ + $\frac{1}{24}$ + $\frac{1}{36}$ = $\frac{1}{8}$
=> ($\frac{1}{a} + \frac{1}{b} + \frac{1}{c}$) = $\frac{1}{16}$
=> It takes 16 days for A, B and C together to complete the work.
15) Answer (A)
A’s 1 day work = 1/10
B’s 1 day work = 1/15
(A+B)’s 1 day work = 1/10 + 1/15 = 5/30 = 1/6
Hence they will take 6 days to complete the same work.
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