Question

akhil can do a piece of work in 25 days. rohan can do the same work in 20 days. in how many days will they be able to finish the work, if they work together?

Answer 1

Akhil can complete 1/25th of the work in 1 day, Rohan can complete 1/20th of the work in 1 day. When they work together, their combined efficiency is 9/100th of the work in 1 day. So, it will take them approximately 11.11 days to complete the work.

Step-by-step explanation:

Let's assume that the work is to build a wall.

Akhil can complete the work in 25 days, so he can complete 1/25th of the work in 1 day. Rohan can complete the same work in 20 days, so he can complete 1/20th of the work in 1 day.

When they work together, Akhil and Rohan's combined efficiency is the sum of their individual efficiencies. So, they can complete 1/25 + 1/20 = 9/100th of the work in 1 day.

To find out how many days they will take to complete the entire work, we need to find out how many times 9/100 goes into 1. So, it will take them approximately 11.11 days to complete the work when they work together.