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Question

175 men can dig a canal 3150 m long in 36 days. How many men are required to dig a canal 3900 m long in 24 days?


A

256

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B

225

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C

325

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D

384

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Solution

The correct option is C

325


No.of menLengthNo.of days175315036X390024

We'll define a new variable
Number of man days (N)

N=No. of men×No of days

N1=175×36=6300

N2=X×24=24X

Let length of the canal dug be L

Number of man days is directly proportional to the length of the canal dug.

N1N2=L1L2

630024X=31503900

X=390012=325

Hence, 325 men are required to dig a length of 3900m in 24 days.


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