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A work is done in 16 days by 8 labours. They worked together for 2 days and after that 8 additional labours joined them. The rest work will be finishe
Question

A work is done in 16 days by 8 labours. They worked together for 2 days and after that 8 additional labours joined them. The rest work will be finished by them in

A.

8 days

B.

10 days

C.

9 days

D.

7 days

Correct option is D

Given:
Initial number of labours = 8
Total time to complete the work by 8 labours = 16 days
They worked for 2 days
Additional labours joined = 8

Total labours after 2 days = 8 + 8 = 16

Formula Used:
Work done = Number of labours × Number of days

Solution:

Total work = 8 labours × 16 days = 128

Work done in first 2 days by 8 labours = 8 × 2 = 16 

Remaining work = 128 − 16 = 112

Now, 16 labours are working.

Time required = 11216\frac{112}{16}​ = 7 days
So, the remaining work will be finished in 7 days.

Thus, the correct answer is (d).

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