ramkryp wrote:

An engineer undertakes a project to build a road 15 km long in 300 days and employs 45 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.

a. 43

b. 45

c. 55

d. 68

e. 60

In above question, it is mentioned that the employees has completed 2.5 km only by 100 days.

as per this rate the will accomplish this job......

ATQ, 2.5km is completed in 100 days

1 km is completed in 100/2.5 days

15 km is completed in {(100/2.5)*15} or 600 days

it means the under taken project deadline will transcend the deadline by 300 days, by all means 600 days total.

In this case, let the engineer must employ X people to pursue the estimated deadline.

He can peruse this job using a simple calculation.....

......As per this current rate he needs 600 days

......100 days have been passed doing partial amount of work

......we need to reduce 300 days employing X people to meet deadline

...... so we have 200 days in our hand

then,

200= {45*(600-100}/(45+X)}

> X = {(45*500)/200} -45

> X = 67.5 people(Apprx..)= 68 people

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Jamil_Mehedi