Question 99

A certain numberof persons can complete a work in 34 days working 9 h a day. If the number of persons is decreased by 40%, then how many hours a day should the remaining persons work to complete the work in 51 days?

Solution

Let the number of persons be x.
Total work = 34 $$\times$$ 9x = 306x
Now, number of person = 0.6x
0.6x$$\times h \times 51 = 306x
h = 306/30.6 = 10
$$\therefore$$ 10 hours a day should the remaining persons work to complete the work in 51 days.


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