Quiz Discussion

X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone completed the remaining work in 16 days. How long would X and Y together take to complete the work ?

• 1]

  \(13\frac{1}{3}{ \text{days}}\)

• 2]

  14 days

• 3]

  15 days

• 4]

  \(16\frac{2}{3}{ \text{days}}\)

If 28 men complete \(\frac{7}{8}\) of a piece of work in a week, then the number of men, who must be engaged to get the remaining work completed in another week, is = ?

• 1] 5
• 2] 6
• 3] 4
• 4] 3

A work could be completed in 100 days by some workers. However, due to the absence of 10 workers, it was completed in 110 days. The original number of workers was ?

• 1] 100
• 2] 110
• 3] 55
• 4] 50

Three taps A, B and C together can fill an empty cistern in 10 minutes. The tap A alone can fill it in 30 minutes and the tap B alone in 40 minutes. How long will the tap C alone take to fill it?

• 1] 16 minutes
• 2] 24 minutes
• 3] 32 minutes
• 4] 40 minutes

16 men can finish a work in 24 days and 48 boys can finish the same work in 16 days. 12 men started the work and after 4 days 12 boys joined them. In how many days can they finish the remaining work ?

• 1] 6
• 2] 12
• 3] 16
• 4] None of these

A and B together can complete a task in 20 days. B and C together can complete the same task in 30 days. A and C together can complete the same task in 40 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone?

• 1]

  2:5

• 2]

  2:7

• 3]

  3:7

• 4]

  1:5

A and B working separately can do a piece of work in 9 and 15 days respectively. If they work for a day alternately, with A beginning, then the work will be completed in:

• 1] 9 days
• 2] 10 days
• 3] 11 days
• 4] 12 days

An employee pays Rs. 26 for each day a worker and forfeits Rs. 7 for each day he idle. At the end of 56 days, if the worker got Rs. 829, for how many days did the worker remain idle?

• 1] 21
• 2] 15
• 3] 19
• 4] 13
• 5] 17

A can do a bit of work in 8 hours while B along can do it in 12 hours. Both A and B cooperating can complete the work in:

• 1]

  10 hours

• 2]

  4 hours

• 3]

  21/4 hours

• 4]

  24/5 hours

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 :

• 1]

  4 days

• 2]

  6 days

• 3]

  8 days

• 4]

  18 days