Time and Work Question for CAT 1
- Jul 23
- 5 min read
Time and Work Question for CAT
Q.1 A can complete a piece of work in 10 days and B can do the same work in 15 days. If A and B work together, how long will they take to complete the same work?
a.5 days
b.6 days
c.7 days
d.8 days
Q.2 A can do a piece of work in 10 days. If A and B working together take 6 days to complete the same work, in how many days can B alone completes the work?
a.12 days
b.16 days
c.15 days
d.18 days
Q.3 A and B together can complete a piece of work in 24 days, B and C can do the same work in 40 days while A and C can do it in 30 days. In how many days A, B and C together will complete the work?
a.10 days
b.20 days
c.15 days
d.12 days
Q.4 If (A,B), (B,C), (C,D) can do a work together in 3, 2 and 5 days respectively. Then, in how many days A and D together will complete the work?
a.15 days
b.18 days
c.30 days
d.cannot be determined
Q.5 A can complete a piece of work in 10 days and B can complete the same work in 15 days. If A starts the work alone & B joins him after 5 days, then in how many more days will the work be completed?
a.3 days
b.4 days
c.5 days
d.6 days
Q.6 A can complete a piece of work in 14 days and B can complete the same work in 21 days. They start work together and B leaves after 3 days. In how many days (overall) will the work be completed?
a.12 days
b.16 days
c.15 days
d.9 days
Q.7 A and B working together can complete a piece of work in 12 days. Both of them start the work together and B leaves after 9 days. If A finishes the remaining work in another 5 days, then find the number of days that B alone would take to complete the work?
a.30 days
b.20 days
c.40 days
d.none of these
Q.8 A, B and C can complete a work in 15, 30 and 40 days respectively. They started the work together and A and B left 2 and 4 days before the completion of the work, respectively. In how many days was the work completed?
a.152/15 days
b.20 days
c.40 days
d.none of these
Q.9 A and B can do a piece of work in 20 days and 25 days respectively. If they work on alternate days, then on which day the work will be completed.
a.20
b.21
c.22
d.23
Q.10 A, B and C who can individually complete a work in 20, 30 and 40 days respectively, work as follows: A works on days 1, 4, 7 etc, B on days 2, 5, 8 etc, C on days 3, 6, 9 etc. In how many days will the work be completed?
a.
b.
c.
d.
Q.11 If A is 20% more efficient than B and B can complete a work in 24 days. Then, in how many days will A complete twice the work?
a.30 days
b.20 days
c.40 days
d.none of these
Q.12 Tap A alone takes 20 minutes and Tap B alone takes 30 minutes to fill the tank. Tap C alone can empty the tank in 60 minutes. If all the three taps are opened together, then find the time taken to fill the tank.
a.15 min
b.30 min
c.20 min
d.10 min
Q.13 Three pipes, A, B and C can each fill/empty a tank in 20 min, 30 min and 60 min respectively. How long will it take to fill an empty tank if A and B is used as inlet and C is used as an outlet pipe?
a.20 min
b.40 min
c.15 min
d.30 min
Q.14 A filling tap can fill a tank in 6 hours and an emptying tap can empty the tank in 12 hours. If both the taps are opened simultaneously, in how many hours will the tank be filled?
a.6
b.12
c.18
d.24
Q.15 Ajay can do a certain work in 16 days. He starts the work, works for 4 days and then quits. Then Bharat takes up the job and does the remaining work. If Bharat alone takes 24 days to do the entire work, in how many days will the work be completed?
a.22 days
b.24 days
c.26 days
d.28 days
Q.16 P can do a certain work in 4 days and Q can do the same work in 12 days. They work together for a few days after which P leaves and Q alone completes the remaining work. If it takes 6 days to complete the entire work, after how many days does P leave?
a.3 days
b.5 days
c.4 days
d.2 days
Q.17 A can do a piece of work in 10 days, and B can do the same work in 20 days. With the help of C, they finished the work in 4 days. In how many days, C can do the work working alone?
a.5 days
b.10 days
c.15 days
d.20 days
Q.18 A can do a piece of work in 12 days. B can do this work in 16 days. A started the work alone. After how many days should B join him, so that the work is finished in 9 days?
a.2 days
b.3 days
c.4 days
d.5 days
Q.19 A and B can do a piece of work in 40 days, B and C can do it in 120 days. If B alone can do it in 180 days, in how many days will A and C do it together?
a.45 days
b.22.5 days
c.18 days
d.12 days
Q.20 Two taps P and Q which can independently fill a tank in 15 hours and 30 hours respectively were opened simultaneously, when the tank was empty. When the tank was half full, an emptying tap R was opened. If the emptying tap R can empty the full tank in 20 hours, then totally in how much time will the tank be completely filled?
a.12 hours
b.15 hours
c.20 hours
d.18 hours
Q.21 A, B, C, and D can do a piece of work in 20 days. If A and B can do it together in 50 days, and C alone in 60 days, find the time in which D alone can do it.
a.120 days
b.150 days
c.90 days
d.75 days
Q.22 A and B undertake to do a piece of work for Rs. 450. A can do it in 20 days and B can do it in 40 days. With the help of C, they finish it in 8 days. How much should C be paid for his contribution?
a.Rs. 180
b.Rs. 40
c.Rs. 120
d.Rs. 60
Q.23 A is twice as good a workman as B and together they finish a piece of work in 20 days. In how many days can A alone finish the work?
a.30 days
b.25 days
c.20 days
d.32 days
Q.24 A can do a piece of work in 9 days and B in 18 days. They begin together, but A goes away 3 days before the work is finished. The work is completed in
a.10.5 days
b.11 days
c.15 days
d.8 days
Q.25 Pipe A can fill a tank in 4 minutes whereas pipes A & B together can fill the same tank in 3 minutes. How much time will pipe B take to fill the tank?
a.8 minute
b.10 minute
c.12 minute
d.16 minute
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
B | C | B | C | A | A | A | A | D | D |
11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
C | A | C | B | A | D | B | D | A | B |
21 | 22 | 23 | 24 | 25 | |||||
D | A | A | D | C |
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