A and B together can finish a work in 30 days They worked for it for 20 days and then B left the wor...........

Quantitative Aptitude (CGL) Time and work

A and B together can finish a work in 30 days. They worked for it for 20 days and then B left the work. The remaining work was done by A alone in 20 days more. In how many days can A alone finish the work?

48 days

50 days

54 days

60 days

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Explanation:

(A + B)’s combined efficiency = 100/30 = (10/3)%.
The work done by both in 20 days= 20*(10/3) = (200/3)%.
Remaining work = 100 – (200/3) = (100/3)%.
If A does (100/3)% of work in 20 days, then A’s one day work = (100/60)%.
Hence, A will alone finish the work in = 100/(100/60) = 60 days.