44 Time and Work Problems - Competition Gurukul

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Time and work

A can do piece of work in 30 days while B alone can do it in 40 days. In

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1.

how many days can A and B working together do it?

(a)120 (b)40/7 (c)60

(d) 171/7

2. A and B together can complete a piece of work in 35 days while A alone can

complete the same work in 60 days. B alone will be able to complete the

same working in how many days?

(a)80 (b)45 (c)80 (d)84

3. A can do a piece of work in 7days of 9 horse each and B can do it in 6

days of 7 hours each. How long will they take to do it, working together 8 2/5

hours a

day ?

(a)5 (b)4 (b)3 (d)8

4. A can do a piece of work in 15 days and B alone can do it in 10 days.

B works at it for 5 days and them leaves. A alone can finish the remaining in?

(a)75/6 (b)71/7 (c)80 (d)755. A can do 1/3 of the work in 5 days and B can do 2/5 of the work in 10 daysin how many days both A and B toether can do the

work ?

(a)93/8 (b)15 (c)27

(d)45

6. A can do a piece of work in 80 days. He works at it for 10 days and then B

alone finished the remaining work in 42 days. The two togther could complete

the work in how many days?

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(a)48


(b)15 (c)30 (d)45

A and B can together finish a work in 30 days. They workd at it for 20 days

7.

and then B left. The remaining work was done by A alone in 20 more days A

alone can finish the work in ?

(a)60 (b)22 (c)48 (d)25

8. A and B can do a piece of work in 45 days and 40 days respectively. They

began to go the work together but A leaves after some days and than B

completed the reaminnig work in 23 days. The number o days after which A

left the work was ?

(a)15 (b)45 (b)3 (d)9

9. A does half as much work as B in three fourth of the time. If together theytake 18 days to complete the work, how much time shall B take to do it ?

(a)46 (b)15 (c)30 (d)45

10.A can do a certain job in 12 days. B is 60% more efficient than A .

The number of days, it takes B to do the same piece of work is?

(a)15/2 (b)25 (c)28 (d)20

11.A can do a certain job in 25 days which B alone can do in 20 days. A stared

the work and was joined by B after 10 days. The number odays tkane

in completing the work was?

(a)68/3 (b)162/3 (c)48 (d)28/3



















12. A is twice as good a work man as B and together they finish a piece of

work in 14 days The number of days taken by A alone to finish the work. ?


(a)45 (b)21 (c)36 (d)49

13.A is thrice as good a workman as B and Takes 10 days less to do a piece of

work than B takes.B alone can do the while work work in ?

(a)15 (b)25 (b)3 0 (d)27/6

14.A can do a piece work in 14 days which B can do in 21 days. They being

together but 3 days the completion of the work. A leaves of the total

number of days to complete the work is ?

(a)175/6 (b)101/7 (c)101/5 (d)75

15. If ramesh, suresh and hairsh can do a piece of work in 15 days, 10 days

and 6 days respectively. How long will they take to do it, if all the three

work it together?

( a)9 (b)03 (b)30 (d)15

16. A and B can do a piece of working 72 days : B and C and do it in 120 days

; A and C can do it in 90 days. In what time can A alone do it ?

(a)120 (b)150 (c)45 (d)125



















17. A and B and C together can finish a piece of work in 4 days: alone can do

it in 12 days and B in 18 days, then C alone can do it in ?

(a)15 (b)65 (c)09 (d)14


18.A and B can do a piece of work in 18 days: B and C can do it in 24 days : A

and C can do it in 36 days. In how many days can they do it all working

together? (a)16 (b)42 (c)30 (d)90

19.A is twice as good as workman as B and together they complete a work in 15

days . in how many days can the work be complete by B alone ?

(a)45 (b)25 (c)20 (d)28

20.45 men can complete a wok in 16 days. Six days after they started working 30

more men joined them. How many days will they now take to complete

the remaining work?

(a)16 (b)14 (b)6 (d)9

21.12 men can complete a work in 18 days six days after they started working

men joined them. How many days will all of them together complete the

remaining work?

(a)15 (b)18 (b)03 (d)9

22.Twelve men can complete a work in 8 days. Three days after started the

work 3 more men joined. In how many days will all of them together complete

the



















remaining work .

(a)16


(b)04 (b)06 (d)09

23. A,B and C are employed to do apiece of work for Rs.529. A and C

are supposed to finish 19/23 of the work together. How much shall be paid to B?

(a)15 (b)65 (c)09 (d)14

24. A job is completed by 10 men in 20 days and by 20 women in 15 days.

The days will it take for 5 men and 10 women to finish that work?(a)120 (b)40/7 (c)60 (d) 171/7

25. A and B can do a piece of work in 5 days. B and C can do it in 7 days, A and

C can do it in 4 days. Who among these will take the least time if put to do it

alone? (a)A (b)B (b)C (d)not possible

26.

take .

(a)5

A and B take 8 days, B and C 12 days. A, B and C take 6 days. A and C

(b)4 (b)3 (d)8

27. A and B take 12 days, B and C 15 days, C and A 20 days. A, B and Ctogether take.

( a)15 (b)03 (b)10 (d)25

28. A and B can complete a work in 4 days. A alone takes 12 days, in how

many days B alone can complete the work?



















(a)5


(b)3 (b)7 (d)6

29. 10 men and 15 women together can complete a work in 6 days. It takes 100

days for one man alone to complete the same work. How many days will

be required for one woman alone to complete the same work?

( a)225 (b)325 (b)215 (d)425

31.X can do in 40 days. He worked for 8 days and then Y finished it in 16 days.

How long together take to finish the work?

(a)131/3 (b)104/7 (c)101/5 (d)175/3

32.A does 4/5 of the work in 20 days. He then calls in B and they

together finish the remaining work in 3 days. How long B alone take to

finish the whole work? ½(a)5 8 (b)42 (b)39 (d)37½

33. A takes 3 days and B 2 days. Both finished the work and got Rs.150.

What is the share of A ?

(a)45 (b)60 (c)09 (d)15

34. A can lay railway track between given stations in 16 days and B can do

the same job in 12 days. With the help of C, they did the job in 4 days only.

Then, C alone can do the job in :

a. 9

days5 b. 9 days c. 9

days5 5

d. 10 days1 2 3



















35. Ronald and Elan are working on an assignment. Ronald takes 6 hours to

type 32 pages on a computer, while Elan 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

c. 8 hours 15 minutes

b. 8 hours

d. 8 hours 25 minutes



















36.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 is:

a. 4 days b. 6 days c. 8 days d. 18 days

37.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 .

(a)15 (b)65 (c)09 (d)14




















a. 15

38. A is 50% as efficient as B. C does half of the work done by A and B

together. If C alone does the work in 40 days, then A, B and C together can do the

work in:


a. 13

1

3days b. 15 days c. 20 days d. 30 days

39.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:


40.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 day. They all work together for 10 days when

B and C leave. How many days more will A take to finish the work?


41. A, B and C are employed to do a piece of work for Rs.529. A and B together

are supposed to do

19

23of the work and B and C together

8

23of the work. What



















amount should A be paid?

a. Rs.315 b. Rs.345 c. Rs.355 d. Rs.375

42.A and B together can complete a work in 12 days. A alone can complete it in

20 days. If B does the work only for half a day daily, then in how many days A

and B together will complete the work?

a. 10 days b. 11 day c. 15 days d. 20 days

43.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 woman?

a. 3 : 4 b. 4 : 3 c. 5 : 3 d. Data inadequate

44.12 men can complete a piece of work in 4 days, while 15 women can complete

the same work in 4 days. 6 men start working on the job and after working for

2 days, all of them stopped working. How many women should be put on

the job complete the remaining work, if it is to be completed in 3 days?

a. 15 b. 18 c. 22 d. None of these



















44 Time and Work Problems - Competition Gurukul

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