Question

T takes 10 road workers 5 days to complete a road repair when working 2 hours a day. Working at the same pace, how many days will it take 2 people working 5 hours a day to finish it?

Answer 1

The no. of days required to finish the work = 10 days

Explanation:

In first case :-

No. of workers
`M_(1)` = 10

No. of days
`D_(1)` = 5

No. of hours taken
`H_(1)` = 2 hours

In second case :-

No. of workers
`M_(2)` = 2

No. of days
`D_(2)` = ??

No. of hours taken
`H_(2)` = 5 hours

We know that

⇒
`M_(1)`
`D_(1)`
`H_(1)` =
`M_(2)`
`D_(2)`
`H_(2)`

⇒ Put all the values in above formula we get

⇒ 10 × 5 × 2 = 2 ×
`D_(2)` × 5

⇒
`D_(2)` = 10 days

Thus the no. of days required to finish the work = 10 days