A and B, working together can finish a piece of work in 312 days, while A alone can do it in 520 days. How many days will B alone take to finish it?
A + B together finish work in 312 days.
Work done by A + B in 1 day = 1/312
A alone finishes in 520 days.
Work done by A in 1 day = 1/520
Work done by B in 1 day
= 1/312 − 1/520
LCM = 1560
= (5 − 3) / 1560
= 2 / 1560
= 1 / 780
Time taken by B alone = 780 days
English
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