Wordpandit Question of the day

A foreman hired 1000 men to complete a certain job in a certain number of days. The first fourth of the job went as per schedule, after which, 100 men left. After 3/4th of the job had been completed, the foreman realised that another 100 men had left after ½ the job had been completed. How many more men should the foreman hire so that the job is completed on time?

a. 550
b. 780
c. 766
d. 844

Answers and Explanations

Answer is option 3

Suppose the 1000 men were to complete the job in 4 days.

In other words, the total work is 4000 units.

The first 1000 units are completed in 1 day by the 1000 men.

The second 1000 units are completed by 900 men in 1000/900 = 10/9 days and the third 1000 units are completed by 800 men in 1000/800 = 5/4 days.

So, 3000 units of work are completed in 1 + 10/9 + 5/4 = 121/36 days.

The remaining 1000 units should now be completed in 4 – 121/36 = 23/36 days.

So, the number of men required to finish this work on time will be 1000 × (36/23) = 1565.2 ≈ 1566.

Thus, the foreman should hire 1566 – 800 = 766 more men.