An engineer undertakes a project to build a road 15 km long in 300 days and employs 35 men for the ...
An engineer undertakes a project to build a road 15 km long in 300 days and employs 35 men for the purpose. After 100 days, he finds only 2.5 km of the road has been completed. Find the (approximate) number of extra men he must employ to finish the work in time.
Answer/Solution
b. 53
Steps/Work
35 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 = (35 * 12.5 * 100) / (2.5 * 200)
thus, X = 87.5 that is approximately 88
Thus, more men needed to finish the task = 88-35=53
hence Answer is B
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 = (35 * 12.5 * 100) / (2.5 * 200)
thus, X = 87.5 that is approximately 88
Thus, more men needed to finish the task = 88-35=53
hence Answer is B