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RD Sharma Solutions Class 8 Mathematics Solutions for Time and Work Exercise 11.1 in Chapter 11 - Time and Work

Question 12 Time and Work Exercise 11.1

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?

Answer:

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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