Question 68

15 men can complete a work in 210 days. They started the work but at the end of 10 days, 15 additional men, with double efficiency, were inducted. How many days, in whole, did they take to finish the work?

Solution

Total man days = 210* 15 = 3150

Man days:

for 1st 10 days = 10 * 15 = 150

Let now days taken be d after induction of 15 men.{double efficency means 1 men can be counted twice, so 30 men0

Total men now = 15 + 15*2 = 45 men

45d + 150 = 3150

d = 200/3

Total days = 200/3 + 10 = 230/3 = $$76\frac{2}{3}$$ days

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