Practice30 Create account

10 men, or 20 women, or 40 children can do a job in 20 days. How long will 5 men, 5 women and 5 children take?

Competition practiceTime & Work / Pipes

A20 days
B25 days
C24 days
D22 6/7 days

Step-by-Step Solution

Rates

\frac{1}{200}, \frac{1}{400}, \frac{1}{800}

. Team:

\frac{5}{200} + \frac{5}{400} + \frac{5}{800} = \frac{20 + 10 + 5}{800} = \frac{7}{160}

, so

\frac{160}{7} = 22 \frac{6}{7}

days.

Answer: D) 22 6/7 days

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Time & Work / Pipes practice questions

More Time & Work / Pipes practice

A job needs 1,500 worker-hours. On day 1, 10 workers work 8 hours; each later day 2 more…A contractor employs 15 men to finish a job in 30 days. After 24 days he adds 6 men and…12 men and 18 boys working 7 1/2 hours a day do a job in 60 days. A man does as much as…Three taps together fill a tank in 10 hours. After 2 hours one tap is closed, and the…The total amount of a job completed so far doubles every day, and the job is finished at…