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'A' can do a piece of work in 30 days and ' B ' alone can do it in 20 days. They work together for 4 days and then ' B ' leaves the job. 'A' will fini
Question

'A' can do a piece of work in 30 days and ' B ' alone can do it in 20 days. They work together for 4 days and then ' B ' leaves the job. 'A' will finish the remaining work in

A.

20 days

B.

15 days

C.

25 days

D.

22 days

Correct option is A

Given
A's time = 30 days
B's time = 20 days

Formula Used
Efficiency = Total WorkTime\frac{\text{Total Work}}{\text{Time}}​​

Solution
Total Work = LCM(30, 20) = 60 units
A's efficiency = 6030=2\frac{60}{30} = 2 ​units/day

B's efficiency = 6020\frac{60}{20} ​= 3 units/day
Work done in 4 days together = 4×(2+3)4 \times (2+3)​ = 20 units
Remaining work = 60 - 20 = 40 units
Time taken by A to finish = 402\frac{40}{2}​ = 20 days

Final Answer
So the correct answer is (a)

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