168 men can dig a 3150 m long canal in 36 days. How many men are required to dig a 3900 m long canal in 24 days?
Question
168 men can dig a 3150 m long canal in 36 days. How many men are required to dig a 3900 m long canal in 24 days?
Solution
Sure, let's solve this problem step by step.
Step 1: First, we need to find out how many men are required to dig 1 meter of the canal in 1 day. We can do this by dividing the total length of the canal by the number of men and the number of days.
So, 1 man can dig 3150 m / 168 men / 36 days = 0.00052 m/day.
Step 2: Now, we need to find out how many men are required to dig 3900 m in 24 days. We can do this by dividing the total length of the new canal by the amount of canal that 1 man can dig in 1 day and the number of days.
So, the number of men required = 3900 m / 0.00052 m/day / 24 days = 312.5 men.
Since we can't have half a man, we'll need to round up to the nearest whole number.
So, 313 men are required to dig a 3900 m long canal in 24 days.
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