If 200 men can dig a canal working for 8 hours a day in 6 days, how long will it take to dig the canal if 300 men work 6 hours per day?

Correct option is D

Given:

200 men can dig a canal in 6 days working 8 hours a day.

We need to find the number of days (x) required to dig the canal if 300 men work for 6 hours a day.

Formula Used:

Work done (W) = Number of men × Number of hours per day × Number of days

Solution:

The total work required to dig the canal can be calculated as follows:

W = 200 men × 8 hours/day × 6 days = 9600 man-hours

Now, if 300 men work for 6 hours a day, the equation becomes:

300 men × 6 hours/day × x days = 9600 man-hours

Simplifying the equation:

1800x = 9600

x = 9600 / 1800 = 16/3 ≈ 5.33 days

Final Answer:

It will take approximately 5.33 days for 300 men working 6 hours a day to dig the canal.