A and B can do a piece of work in 20 days and B in 15 days. They work togetherfor 2 days and then A goes away. In how many days will B finish the remainingwork?
Few crucial time and work calculations below:
Time Spent x Work Rate = Work Done
1/1 Time Required = Work Rate
Time required = 1 / Work Rate
If a piece of work takes x days to complete, the work completed in one day equals 1/x.
Total Wok Done = Number of Days Efficiency
The given details are,
A and B can do a piece of work in = 20 days
Work done by A and B in 1 day = 1/20
B can do a piece of work in = 15 days
B’s 1 day work = 1/15
A and B work for 2 days,
hence work done by them in 2 days = 2 × 1/20 = 1/10
Remaining work = 1 – 1/10 = 9/10
∴ B can finish the remaining (9/10) work in = (9/10)/15 = 135/10 = 13 ½ days.
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