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 [tex]\frac{1}{8}[/tex] of the work.
Tipu can finish in 12 days.
This means that each day he works, Tipu does [tex]\frac{1}{12}[/tex] of the work.
Each 2 days:
Each 2 days they work, the amount done is given by:
[tex]\frac{1}{8} + \frac{1}{12} = \frac{3 + 2}{24} = \frac{5}{24}[/tex]
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:
[tex]d = \frac{1}{\frac{5}{24}} = \frac{24}{5} = 4.8[/tex]
2*4.8 = 9.6
Rounding up
The work will be finished in 10 days.
