CAT 2022 Slot 2 QA Question 11: Working alone, the times taken by Anu, Tanu and Manu to complete any job are in the ratio 5 : 8 : 10. They accept a job which they can finish in 4 days if they all work together for 8 hours per day. H

Question

Working alone, the times taken by Anu, Tanu and Manu to complete any job are in the ratio 5 : 8 : 10. They accept a job which they can finish in 4 days if they all work together for 8 hours per day. H

Accepted Answer

The individual times are in the ratio $5 : 8 : 10$, so the efficiencies are in the inverse ratio:

$\dfrac{1}{5} : \dfrac{1}{8} : \dfrac{1}{10} = 8 : 5 : 4$

Let the hourly efficiencies of Anu, Tanu and Manu be 8, 5 and 4 units respectively.

Together, they complete the job in 4 days at 8 hours per