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RD Sharma Solutions Class 8 Mathematics Solutions for Time and Work Exercise 11.1 in Chapter 11 - Time and Work
Prev
A and B can do a piece of work in 6 days and 4 days respectively. A started thework, worked at it for 2 days and then was joined by B. Find the total time taken tocomplete the work.
Answer:
The given details are,
A can do a piece of work in = 6 days
A’s 1 day work = 1/6
B can do a piece of work in = 4 days
In 2 days the work completed by A = 2 × 1/6 = 1/3
part of work Remaining work = 1 – 1/3
= (3-1)/3
= 2/3
A and B can finish the remaining work in = (2/3)/(1/6 + 1/4)
= (2/3)/(5/12)
= (2×12)/(3×5)
= 8/5 days
∴ Total time taken to complete the work by A and B = 2 + 8/5
= (10+8)/5 = 18/5
= 3 3/5 days
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