Question

The amount of work done by a monkey in 16 days is equal to the work done by a gorilla in 12 days and by a baboon in 24 days. When working 3 days per week, 27 gorillas can complete a task in 4 weeks. In how many weeks can 12 gorillas, 12 monkeys and 12 baboons together finish the same task, when working 4 days per week?

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

$\frac{16}{m}=\frac{12}{g}=\frac{24}{b}$

Time needed by a gorilla to complete the work = $27\times 3\times 4=324days$

Time needed by a monkey to complete the job = $16\times \frac{324}{2}=432days$

Time needed by a monkey to complete the job = $24\times \frac{324}{12}=648days$

Work done by 1 monkey, gorilla and baboon together by working 1 day per week = $\frac{1}{144}$

Work done by 12 monkeys, gorillas and baboons together by working 1 day per week = $\frac{1}{12}$

Work done by 12 monkeys, gorillas and baboons together by working 4 days per week = $\frac{1}{3}$

No. of weeks needed to complete the work = 3