If 12 men working 8 hours a day complete the work in 10 days, how long would 16 men working 7.5 hours a day take to complete the same work?
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If 12 men working 8 hours a day complete the work in 10 days, how long would 16 men working 7.5 hours a
To solve this problem, we can use the concept of man-hours, which is the total amount of work done by one person in one hour.
Given:
- 12 men working 8 hours a day complete the work in 10 days.
Step 1: Calculate the total man-hours required to complete the work.
Total man-hours = 12 men * 8 hours/day * 10 days
Total man-hours = 960 man-hours
Step 2: Calculate the number of days required for 16 men working 7.5 hours a day to complete the same work.
Let's assume the number of days required is "x".
Total man-hours = 16 men * 7.5 hours/day * x days
960 man-hours = 120 men-hours/day * x days
Step 3: Solve for "x" by dividing both sides of the equation by 120 men-hours/day.
x = 960 man-hours / (120 men-hours/day)
x = 8 days
Therefore, 16 men working 7.5 hours a day would take 8 days to complete the same work.
Answer:
Working 8 hrs in a day men needed = 12
⇒ Working 1 hr in 1 day men needed
= 12×8×10
⇒ Working 15 hrs in 8 days men
needed = 12×8×10 / 15×8 = 8
∴ Men needed = 8.
Hence, the answer is 8.