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A work can be completed by x persons in 50 days. Due to absence of 5 persons, the work was completed in 55 days. The value of x is
Question

A work can be completed by x persons in 50 days. Due to absence of 5 persons, the work was completed in 55 days. The value of x is

A.

110

B.

100

C.

55

D.

50

Correct option is C

Given:

A work can be completed by x persons in 50 days.

Due to absence of 5 persons, the work is completed in 55 days.

Find the value of x.

Formula Used:

Time and Work — Men × Days = Constant work

Solution:

Total work remains same in both cases.

50x = 55(x - 5)

50x = 55x - 275

55x - 50x = 275

5x = 275

x = 55

Alternate Solution (Exam Trick):


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