10 persons working for 8 hours per day can finish a work in 6 days. Then how many days it would take if 5 persons working for 4 hours per day, to finish same work.​

Answers 2

Answer:

10

Explanation:

4 hours x 12 days=48 total hours worked

48 hours x 10 men=480 man/hours

1 man/480 total hours=1/480th of the work done per man per hour

8 x 6 x 1/480=1/10 work done per day

1 work / 1/10 work done per day=10 days necessary to finish the work

Given :

10 persons work 8 hours per day and complete work in 6 days.

To find :

The number of days taken to complete the same work by 5 persons working 4 hours per day.

Solution :

  • 10 persons working 8hrs per day can complete the work in 6 days.
  • 10 persons working 1hr per day can complete the work in (6x8)days.                                        
  • 1 person working 1hr a day can complete the work in  (6x8x10)days.                      
  • 1 person working 4hrs a day can complete the work in                          [(6x8x10)/4]days.

Therefore, 5 persons working 4hrs a day can complete the work in

            [(6x8x10)/(4x5)]days

            =  (480/20)days = 24 days

5 persons working 4hrs per day will take 24 days to complete the work.

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