Question

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?

• A. $6 \,days$
• B. $5\frac{1}{3}\,days$
• C. $4\frac{2}{3}\,days$
• D. $7\,days$

Answer 1

Answer:

$5\frac{1}{3}\,days$

Step 1: Calculate total man-hours for the original scenario

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

Step 2: Calculate the number of days for the new scenario

• Let the number of days be 'x'

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

• 1800x = 9600

• x = 9600 / 1800

• x = $5 \frac13$ days

Therefore, it will take approximately $5 \frac13$ days for 300 men working 6 hours per day to dig.