Question

Q5. A contract was to be completed in 56 days and 104 men were set to works,
Each working 8 hours per days. After 30 days. 2/5 of the work is completed. How
many additional men may be employed so that the work may be completed in
time, each man now working 9 hours a day?
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Answer 1

Answer:

The rate of 104 men is (2/5)/30 = 2/150 = 1/75. So we see that we need to complete 3/5 of the job in 26 days for a rate of:

(3/5)/26 = 3/130.

We can determine how many men must be used with the following proportion:

104/(1/75) = n/(3/130)

7,800 = 130n/3

23,400 = 130n

180 = n

Since they have 104 men already, they need 76 more men