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​The efficiency of B is two times of the efficiency of A. Both started work together and after x days A left the work. If B completed 25% of the remai
Question

​The efficiency of B is two times of the efficiency of A. Both started work together and after x days A left the work. If B completed 25% of the remaining work alone in 4 days, then find the value of x?

A.

12

B.

3

C.

8

D.

4

E.

6

Correct option is C

Total time taken by B to complete the whole work = 4×4 = 16 days

We know, efficiency is inversely proportional to time

So, time ratio for A to B = 2 : 1

So, total time taken by A to complete the whole work = 16×2 = 32 days

Total work = 32 unit

3x + 2×4 = 32

3x = 24

x = 8

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