Practice MCQ Questions and Answer on Time and Work

251.

Two pipes A and B can fill a cistern in 12 min and 16 min respectively. Both the pipes are opened together for a certain time but due to some obstruction the flow of water was restricted to $$\frac{7}{8}$$ of full flow in pipe A and $$\frac{5}{6}$$ of full in pipe B. This obstruction is removed after some time and tank is now filled in 3 min from that moment. How long was it before the full flow.

  • (A) 8 min
  • (B) 3 min
  • (C) 5.6 min
  • (D) 4.5 min

252.

If 3 men or 9 boys can finish a piece of work in 21 days, in how many days can 5 men and 6 boys together do the same piece of work ?

  • (A) 8 days
  • (B) 12 days
  • (C) 14 days
  • (D) Cannot be determined

253.

Three friends Anne, Bob and Chris work together to do a certain job. Time it takes them to do the work together to do a certain job. The it takes them to do the work together is 6 hours less than Anne would have take alone, 1 hour less than Bob would have taken alone and half the time Chris would have taken working alone text. How long did it take them to complete the job, working together ?

  • (A) 20 minutes
  • (B) 30 minutes
  • (C) 40 minutes
  • (D) 50 minutes

254.

There is a group of 5 boys and 2 girls. The two groups working together can do four times as much work as a boy and a girl. Ratio of working capacities of a boy and a girl is:

  • (A) 2 : 1
  • (B) 2 : 3
  • (C) 1 : 3
  • (D) 1 : 2

255.

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

256.

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

257.

A can complete $$\frac{1}{3}$$ of a work in 5 days and B, $$\frac{2}{5}$$ of the work in 10 days. In how many days both A and B together can complete the work ?

  • (A) $${\text{7}}\frac{1}{2}$$
  • (B) $${\text{8}}\frac{4}{5}$$
  • (C) $${\text{9}}\frac{3}{8}$$
  • (D) 10

258.

A can do a piece of work in 10 days, B in 15 days. They work for 5 days. The rest of the work was finished by C in 2 days. If they get Rs. 1500 for the whole work, the daily wages of B and C are ?

  • (A) Rs. 150
  • (B) Rs. 225
  • (C) Rs. 250
  • (D) Rs. 300

259.

The time taken by 4 men to complete a job is double the time taken by 5 children to complete the same job. Each man is twice as fast as a woman. How long will 12 men, 10 children and 8 women take to complete a job, given that a child would finish the job in 20 days ?

  • (A) 4 days
  • (B) 2 days
  • (C) 1 day
  • (D) 10 days

260.

P is thrice as good a workman as Q and therefore able to finish a job in 48 days less than Q. Working together, they can do it in ?

  • (A) 18 days
  • (B) 24 days
  • (C) 30 days
  • (D) 12 days