# A and B can together finish a work in 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the job? (a). 40 (b). 54 (c). 60 (d). 59

By BYJU'S Exam Prep

Updated on: September 25th, 2023

Given

Time is taken by A and B together to finish a work = 30 days

Number of days A and B worked together = 20 days

Number of days taken by A to finish the remaining work = 20 days

So the work done by A and B in 1 day = 1/30 units of total work

Total work done in 20 days = 1/30 x 20 = ⅔ units of work

Work left out = 1 – ⅔ = ⅓ units of work

This is the work completed by A in 20 days

Number of days taken by A to complete a unit of work = 20/ ⅓ = 60 days

So in 60 days A alone can finish the job.

Therefore, in 60 days A alone can finish the job.

Summary:

## A and B can together finish a work in 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the job? (a). 40 (b). 54 (c). 60 (d). 59

A and B can together finish a work in 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In 60 days A alone can finish the job.

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