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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