Question

Rashid can do a piece of work in 8 days, which Tipu can finish in 12 days. If they work at it on alternate days with Rashid beginning, in how many days, the work will be finished?

Answer 1

The work will be finished in 10 days.

Explanation:

Rashid can do a piece of work in 8 days

This means that each day he works, Rashid does
`(1)/(8)` of the work.

Tipu can finish in 12 days.

This means that each day he works, Tipu does
`(1)/(12)` of the work.

Each 2 days:

Each 2 days they work, the amount done is given by:

`(1)/(8) + (1)/(12) = (3 + 2)/(24) = (5)/(24)`

Each 2 days, 5/24 of the work is done:

The number of periods of 2 days that is needed to finish the work(100% = 1 completed), is given by:

`d = (1)/((5)/(24)) = (24)/(5) = 4.8`

2*4.8 = 9.6

Rounding up

The work will be finished in 10 days.