Time and Work Free Question Bank

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

A

1
4


B

1
10


C

7
15


D

8
15


E NA

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

A

9 1 days
5


B

9 2 days
5


C

9 3 days
5


D 10
E NA

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

A 12 days
B 15 days
C 16 days
D 18 days
E NA

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

A 20 days
B
22 1 days
2

C 25 days
D 30 days
E NA

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

A Rs. 375
B Rs. 400
C Rs. 600
D Rs. 800
E NA

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

A 4 days
B 5 days
C 6 days
D 7 days
E NA

A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

A 8 hours
B 10 hours
C 12 hours
D 24 hours
E NA

A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:

A 15 days
B 20 days
C 25 days
D 30 days
E NA

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

A 23 days
B 37 days
C 371/2
D 40 days
E NA

A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?

A 11:30 A.M.
B 12 noon
C 12:30 P.M.
D 1:00 P.M.
E NA

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

A 5
B

5 1
2


C 6
D 8
E NA

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

A 35
B 40
C 45
D 50
E NA

A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?

A 40
B 50
C 54
D 60
E NA

P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

A
5 5
11

B
5 6
11

C
6 5
11

D
6 6
11

E NA

10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

A 3
B 5
C 7
D Cannot be determined
E NA

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

A 6 days
B 10 days
C 15 days
D 20 days
E NA

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

A 11 days
B 13 days
C

20 3 days
17


D None of these
E NA

Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

A 7 hours 30 minutes
B 8 hours
C 8 hours 15 minutes
D 8 hours 25 minutes
E NA

A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

A
1 day
24

B
7 day
24

C
3 3 days
7

D 4 days
E NA

Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:

A 15
B 16
C 18
D 25
E NA

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 NA

A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :

A 8 days
B 10 days
C 12 days
D 15 days
E NA

A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?

A 18 days
B 24 days
C 30 days
D 36 days
E NA

A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :

A 4 days
B 6 days
C 8 days
D 18 days
E NA

Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

A 3 : 4
B 4 : 3
C 5 : 3
D Data inadequate
E NA

A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :

A 4 days
B 6 days
C 8 days
D 12 days
E NA

A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

A 5 days
B 6 days
C 10 days
D
10 1 days
2

E NA

X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?

A

13 1 days
3


B 15 days
C 20 days
D 26 days
E NA

A and B can do a job together in 7 days. A is 1 times as efficient as B. The same job can be done by A alone in :

A

9 1 days
3


B 11 days
C

12 1 days
4


D

16 1 days
3


E NA

A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

A 30 days
B 40 days
C 60 days
D 70 days
E NA


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