30 men working 5 h a day can do a work in 16 days. In how many days wi...
Work equivalence method:
30 × 5 × 16 = 20 × 6 × n
Gives the value of n as 20 days
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30 men working 5 h a day can do a work in 16 days. In how many days wi...
Given:
- 30 men work for 5 hours a day
- They can complete a work in 16 days
To find:
- How many days will it take for 20 men working 6 hours a day to complete the same work?
Let's calculate the total work done by 30 men in 1 day:
- 30 men working 5 hours a day = 30 * 5 = 150 man-hours per day
Now, let's calculate the total work done by 30 men in 16 days:
- Total man-hours = 150 man-hours per day * 16 days = 2400 man-hours
Therefore, the total work required to be done is 2400 man-hours.
Now, let's calculate the number of days required for 20 men working 6 hours a day to complete the same work:
Let the number of days required be 'd'.
So, the total man-hours done by 20 men working 6 hours a day in 'd' days is:
- 20 men working 6 hours a day = 20 * 6 = 120 man-hours per day
- Total man-hours = 120 man-hours per day * d days = 120d man-hours
According to the given information, the total work required is 2400 man-hours. Therefore, we can set up the equation:
120d = 2400
Simplifying the equation:
d = 2400 / 120
d = 20
Hence, it will take 20 days for 20 men working 6 hours a day to complete the same work.
Therefore, the correct answer is option 'B' - 20 days.