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

Answer:

The work will be finished in 10 days.

Step-by-step explanation:

Rashid can do a piece of work in 8 days

This means that each day he works, Rashid does $\frac{1}{8}$ of the work.

Tipu can finish in 12 days.

This means that each day he works, Tipu does $\frac{1}{12}$ of the work.

Each 2 days:

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

$\frac{1}{8} + \frac{1}{12} = \frac{3 + 2}{24} = \frac{5}{24}$

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:

$d = \frac{1}{\frac{5}{24}} = \frac{24}{5} = 4.8$

2*4.8 = 9.6

Rounding up

The work will be finished in 10 days.