Time & Work : Important Questions with Answer Part – 2

**Question 31:**

A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the same work, If all three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is:

a) 100

b) 96

c) 95

d) 90

e) None of these

**Question 32: **

4 boys and 3 women can do a piece of work in 6 days while 2 boys and 4 women can do the same piece of work in 9 days. How much time will be taken by 7 boys and 9 women to do the same piece of work?

a) 3 days

b) 7 days

c) 8 days

d) 12 days

e) None of these

**Question 33: **

Working alone, Typewriters A, B, C can do a certain typing job, consisting of a large number of pages, in 12,15 and 18 hours, respectively. What is the ratio of the time it takes Typewriter A to do the job, working alone at its rate, to the time it takes Type writer B and C to do the job, working together at their individual rate?

a) 4/11

b) 1/2

c) 15/22

d) 22/15

**Question 34: **

A, B and C can do a piece of work in 4, 7 and 8 days respectively. They undertook to finish the work together for Rs. 53650. Find the difference (in Rs.) between the share of

A and that of B.

a) 10100

b) 11100

c) 11650

d) 12560

e) None of these

**Question 35:**

A take 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

**Question 36:**

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

**Question 37:**

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

**Question 38:**

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

**Question 39:**

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

**Question 40: **

A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get Rs. 3000 as wages for the whole work, what are the daily wages of A, B and C respectively (in Rs):

a) 200, 250, 300

b) 300, 200, 250

c) 200, 300, 400

d) None of these

**Question 41:**

A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?

a) 11days

b) 12days

c) 13days

d) 14days

**Question 42: **

12 men can complete a work in 8 days. 16 women can complete the same work in 12 days. 8 men and 8 women started working and worked for 6 days. How many more men are to be added to complete the remaining work in 1 day?

a) 8

b) 12

c) 16

d) 24

**Question 43: **

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) 60/11

b) 61/11

c) 71/11

d) 72/11

**Question 44: **

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

b) 24

c) 30

d) 36

Question 45:

A works twice as fast as B. If B can complete a work in 18 days independently, the number of days in which A and B can together finish the work is:

a) 4

b) 6

c) 8

d) 10

Question 46:

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 20 days and C alone in 60 days , then B alone could do it in:

a) 20

b) 40

c) 50

d) 60

Question 47:

A Contractor employed a certain number of workers to finish constructing a road in a certain scheduled time. Sometime later, when a part of work had been completed, he realised that the work would get delayed by three-fourth of the scheduled time, so he at once doubled the no of workers and thus he managed to finish the road on the scheduled time. How much work he had been completed, before increasing the number of workers?

a) 10%

b) 14(2/7%)

c) 20%

d) 30%

Question 48:

A is thrice efficient as B and C is twice as efficient as B. what is the ratio of number of days taken by A,B and C, when they work individually?

a) 2:6:3

b) 2:3:6

c) 1:2:3

d) 3:1:2

Question 49:

The ratio of efficiency of A is to C is 5:3. The ratio of number of days taken by B is to C is 2:3. A takes 6 days less than C, when A and C completes the work individually. B and C started the work and left after 2 days. The number of days taken by A to finish the remaining work is:

a) 4

b) 5

c) 6

d) 9

Question 50:

(x-2) men can do a piece of work in x days and (x+7) men can do 75% of the same work in (x-10) days. Then in how many days can (x+10) men finish the work?

a) 27

b) 12

c) 25

d) 18

Question 51:

A is twice efficient as B and together they do the same work in as much time as C and D together. If C and D can complete the work in 20 and 30 days respectively, working alone, then in how many days A can complete the work individually:

a) 12

b) 18

c) 24

d) 30

Question 52:

An air conditioner can cool the hall in 40 minutes while another takes 45 minutes to cool under similar conditions. If both air conditioners are switched on at same instance then how long will it take to cool the room approximately?

a) 18

b) 19

c) 22

d) 24

Question 53:

A group of workers was put on a job. From the second day onwards, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. Had no worker been withdrawn at any stage, the group would have finished the job in 55% of the time. How many workers were there in the group?

a) 50

b) 40

c) 45

d) 10

Question 54:

Ram starts working on a job and works on it for 12 days and completes 40% of the work. To help him complete the work, he employs Ravi and together they work for another 12 days and the work gets completed. How much more efficient is Ram than Ravi?

a) 50%

b) 200%

c) 60%

d) 100%

Question 55:

If A and B work together, they will complete a job in 7.5 days. However, if A works alone and completes half the job and then B takes over and completes the remaining half alone, they will be able to complete the job in 20 days. How long will B alone take to do the job if A is more efficient than B?

a) 20 days

b) 40 days

c) 30 days

d) 24 days

Question 56:

A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipe meant to empty the tank. Each of the pipes that fill the tank can fill it in 8 hours, while each of those that empty the tank can empty it in 6 hours. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are filling pipes?

a) 2

b) 4

c) 6

d) 4. 5

Question 57:

A can finish a work in 12 days while B can finish the same work in 15 days. If both work together, then calculate the Time taken to complete the work.

a) 6 2/3 days

b) 6 days

c) 8 days

d) 4 days

Question 58:

As a worker, Ajit is thrice as good as Dev. If both working together can finish the work in 5 days, then determine the Time taken by Ajit to complete the work alone.

a) 10/3 days

b) 5 days

c) 4 days

d) 20/3 days

Question 59:

A and B can do a work in 12 days, B and C can do the same work in 15 days and A and C can complete the work in 20 days. In how many days A, B and C working together can complete the whole work?

a) 10 days

b) 12 days

c) 8 days

d) 14 days

**Question 60:**

A can finish the work in 16 days while B can finish the work in 8 days. After A started the work alone, B joined him after 4 days. Find out the total Time taken to finish the work.

a) 4 days

b) 8 days

c) 6 days

d) 14 days

__Answers:__

**31. B **

Let 1 day’s efficiency of each of the individuals is A, B

and C respectively.

As per the given information, we get the efficiency

equations as follows

3A = (B + C) …(i)

A + B + C = 24 …..(ii)

Putting 3A in place of (B + C) in equation (ii),

we get A + 3A = 24 4A = 24

Now, 4A do the whole work in 24 days.

Therefore, A alone will do the whole work in 24 × 4 = 96

days.

Hence, option B is correct.

**32. A **

As per the given information,

work done by 4 boys and 3 women in 6 days must be equal to

work done by 2 boys and 4 women in 9 days.

Therefore, we get

(4B + 3W) × 6 = (2B + 4W) × 9

⇒ 24B + 18W = 18B + 36W

⇒ 6B = 18W ⇒ 1B = 3W

Now, 2B + 4W= (2 × 3)W + 4W = 10W

⇒ 10 women do a piece of work in 9 days.

Similary, 7B + 9W = (7 × 3)W + 9W = 30W

Now, when 10 women do a piece of work in 9 days, 30 women (thrice of 10) will do the same piece of work in 3 days (∵Time ∝1/Efficiency ).

Hence, option A is correct.

**33. D**

Since Typewriter B can do the job in 15 hours, it can do 1/15 of the job in 1 hour.