Question

An engineer takes a project to build a road of 15 km in 300 days and employes 45 men for that .After 100 days he find only 2.5 km work is completaed find number of extra men

Answer 1

45 workers working already

Let x be the total men required to finish the task in next 200 days

2.5 km done hence remaining is 12.5 km

Also, work has to be completed in next 200 days (300 - 100 = 200)

We know that, proportion of men to distance is direct proportion

and, proportion of men to days is inverse proportion

Hence, X = (45 * 12.5 * 100) / (2.5 * 200)

thus, X = 112.5 that is approximately 113

Thus, more men needed to finish the task = 113-45=68

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