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Question

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?


Solution

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 =56×27
in 1 day, 1 m long wall will be completed by =56×27448m
and in 23 days 552 m long wall be completed by =56×27×552448×23 men
=1×27×248=81 men
No. of extra men required
= 81 - 56 = 25 men.


Mathematics
Concise Mathematics
Standard VIII

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