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Theere are 5 men in group. Each man can complete a job in 35 days. One of them starts it . Starting from the second day, a man joins until the 5th day. Therefore, all the men work together. Find the total time taken to complete the job. ( in days)

A

9

B

8

C

10

D

7

Text Solution

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The correct Answer is:
A

Each man can complete `(1)/(35)` of the job/day.
Part of the job completed in the first 5 day.
`=(1)/(35)+(2)/(35)+(3)/(35)+(4)/(35)+(5)/(35)=(15)/(35)=(3)/(7)`
Remainig part `=(4)/(7)`
This will be completed by all the men working together.
Time taken to complete it
`=((4)/(7))/(5((1)/(35)))` days =4 days
Total time taken =9 days.
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