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X. Y and Z can complete a piece of work in 20, 12 and 28 days, respectively. If all work together, the approximate mumber of days to complete the work
Question

X. Y and Z can complete a piece of work in 20, 12 and 28 days, respectively. If all work together, the approximate mumber of days to complete the work will be:

A.

6

B.

7

C.

4

D.

5

Correct option is A

X, Y and Z can complete a piece of work in 20,12 and 28 days.
Work done = time × efficiency
Total work = LCM(20,12, 28) = 420
Efficiency of X = 420/20 = 21
Efficiency of Y = 420/12 = 35
Efficiency of Z = 420/28 = 15
Time taken by (X + Y + Z) together = 420/(21 + 35 + 15) = 5.91

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