Time and Work Question for CAT 3
- Jul 23
- 5 min read
Time and Work Question for CAT
Q.1 X men can finish a job in 40 days. If 5 extra Men join them, the job takes 10 days less. What is the value of X?
a.10
b.15
c.18
d.20
Q.2 Two pipes, P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first Is turned off. How much more time will the cistern take to fill completely?
a.8.25 minutes
b.8.5 minutes
c.9 minutes
d.9.5 minutes
Q.3 A Two pipes can fill a tank in 12 hrs and 18 hrs respectively. The pipes are opened together but due to a pipe leakage, it takes 48 minutes extra to fill the tank. If the tank is full, what time will it take to completely empty due to the leakage?
a.72 hrs
b.84 hrs
c.96 hrs
d.112 hrs
Q.4 A cistern of capacity 40 litres has an inlet and an outlet pipe. When both the pipes are opened at once, it takes 8 minutes to fill the cistern. However, if the outflow rate is increased to 1.5 times, the cistern never gets filled. Which of the following can be the outflow rate?
a.8 litres/minute
b.6 litres/minute
c.12 litres/minute
d.9 litres/minute
Q.5 A certain number of taps filled a tank in 7 hours. If there were 4 taps less, the tank would have been filled in 11 hours. Find the number of taps.
a.7
b.11
c.13
d.14
Q.6 25 men working 8 hours a day produce 200 toys in 10 days. In how many days will 1000 toys be produced by 100 men, if they work 10 hours a day?
a.9
b.10
c.11
d.8
e.12
Q.7 Ajay and Babu can finish a task in 6 days working together. If Ajay works at one-third of his normal efficiency and Babu works at twice his normal efficiency, the time required to finish the same task doesn’t change. How many days will Ajay alone take to finish a different task, if Babu alone can finish it in 18 days?
a.9 days
b.15 days
c.12 days
d.Cannot be determined
Q.8 If 10 men can build a wall in 60 days then how many men will it take to build a similar wall in 20 days?
a.20 Men
b.25 Men
c.30 Men
d.35 Men
e.40 Men
Q.9 When A and B work on a job on alternate days and A works on the first day, the job is completed in exactly 19 days. When A and C work on a job on alternate days and A works on the first day, the job is completed in exactly 13 days. If it is known that C is twice as efficient as B, in how many days can A alone complete the job?
a.16 days
b.17 days
c.18 days
d.19 days
Q.10 Eight men can dig a field in 14 days working 6 hours a day. In how many days can seven men dig the same field working 8 hours a day?
a.11 days
b.12 days
c.13 days
d.10 days
e.14 days
Q.11 If 36 men can dig a trench 200 m long, 3 m wide and 2 m deep in 6 days working 10 hr a day, then in how many days, working 8 hr a day will 10 men dig a trench 100 m long, 4 m wide and 3 m deep?
a.15 days
b.27 days
c.20 days
d.54 days
e.56 days
Q.12 A garrison of 1800 men has provisions for 63 days. At the end of 20 days, a reinforcement arrives, and it is now found that the provisions will last only for 36 days more. What is the reinforcement?
a.2500
b.2150
c.350
d.1350
e.375
Q.13 If 10 boys or 6 men can do a piece of work in 8 days, then find the number of days that 15 boys and 11 men will take to finish the same work
a.2.2 days
b.2.1 days
c.2.3 days
d.2.4 days
e.2.6 days
Q.14 8 men can complete a job in 6 days while 5 women can complete the same job in 12 days. If 4 men and 10 women are employed to do the same job, how long will it take to get completed?
a.4 days
b.6 days
c.5 days
d.8 days
e.7 days
Q.15 If 18 men and 10 boys can do the same work in one day, which 12 men and 20 boys can do, how much should a man be paid a day, if a boy is paid Rs. 180 a day for the same task
a.Rs.300
b.Rs.600
c.Rs.180
d.Rs.200
Q.16 X can do a piece of work in 30 days and Y can do it in 40 days. In how many days can X and Y finish the work together?
a.
b.
c.
d.
e.
Q.17 A and B can complete a certain work in 15 days and 20 days respectively. But with the help of C, they can complete the same work in 5 days. How long will C alone take to complete the work?
a.8 days
b.10 days
c.12 days
d.14 days
e.16 days
Q.18 X is twice as good a workman as Y and together they finish a piece of work in 14 days. The number of days taken by X to finish the work alone is:
a.11
b.28
c.21
d.30
e.15
Q.19 A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in ?
a.4 days
b.6 days
c.8 days
d.12 days
e.14 days
Q.20 X, Y and Z can complete a piece of work in 12 days, 15 days and 20 days respectively. They started the work but Z left after 2 days. In how many days will the remaining work be completed?
a.3 days
b.4 days
c.5 days
d.6 days
e.8 days
Q.21 A and B can do work in 12 days, B and C in 15 days, C and A in 20 days. If A,B and C work together, they will complete the work in
a.5 days
b.7 days
c.10 days
d.15 days
e.17 days
Q.22 A alone can do a piece of work in 20 days which B alone can do in 30 days. If they work together and get a payment of Rs.380, then what is B’s share?
a.Rs.310
b.Rs.210
c.Rs.278
d.Rs.152
e.Rs.164
Q.23 A and B can do a work in 12 days, B and C in 10 days and C and A in 15 days. If all of them work together and C gets Rs. 1000 as his share, for the work done by him, what should be A’s share?
a.Rs.960
b.Rs.600
c.Rs.980
d.Rs.1050
e.Rs.975
Q.24 Gagan is thrice as good a worker as Dilip and takes 8 days less to do a piece of work than Dilip. In how many days, Dilip alone can do the complete work?
a.4 days
b.12 days
c.18 days
d.24 days
Q.25 8 taps are fitted in a tank, some are water taps and rest are outlet taps. Each water tap can fill the tank in 12 hrs and each outlet tap can empty it in 36 hours. Then calculate the number of water taps if the whole tank is filled in 3 hours.
a.3
b.4
c.5
d.Cannot be determined
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
B | A | A | C | B | B | C | C | D | B |
11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
B | C | D | A | A | D | C | C | B | B |
21 | 22 | 23 | 24 | 25 | |||||
C | D | B | B | C |
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