# A contractor undertakes to build a wall 1000 m long in 50 days.

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asked May 15

A contractor undertakes to build a wall 1000 m long in 50 days. He employs 56 men, but at the end of 27 days, he finds that only 448 m of wall is built. How many extra men must the contractor employ so that the wall is completed in time ?

## 1 Answer

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answered May 15 by (-3,360 points)

Number of men employed in the beginning = 56
Length of wall = 1000 m No. of days = 50
In the time of 27 days, only 448 m of wall was completed
Remaining period = 50 – 27 = 23 days
and length of wall to be completed = 1000 – 448 = 552
Now in 27 days, 448 m long wall was completed by = 1000 m
in 1 day, 448 m long was completed by = 56 x 27
inf 1 day, 1 m long wall will be completed by

= (56 × 27)/448 m

And in 23 days 552 m long wall be completed

by = (56 × 27 × 552)/(448 × 23) men

= (1 × 27 × 24)/8 = 81 men

∴ No. of extra men required

= 81 – 56 = 25 men

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