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15 men take 20 days to complete a work working 8 hours a day. How many number of hours a day should 20 men take to complete the work in 12 days?
- a)15 hours
- b)10 hours
- c)20 hours
- d)12 hours
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
15 men take 20 days to complete a work working 8 hours a day. How man...
Formula: If M1 persons can do a piece of work in D1 days for h1 hours and M2 persons can do the same piece of work in D2 days for h2 hours,
then: M1D1h1 = M2D2h2.
In the above given problem M1=15 men, D1=20 days, h1=8 hours, M2=20 men, D2= 12 days. Substituting the above values in the formula, we get
⇒ 15 * 20 * 8 = 20 * 12 * h2;
⇒ 2400 = 240 * h2; h2 = 10 hours
Therefore, 10 hrs a day should 20 men take to complete the same work in 12 days.
Most Upvoted Answer
15 men take 20 days to complete a work working 8 hours a day. How man...
Given data:
- 15 men take 20 days to complete a work working 8 hours a day.
- We need to find how many number of hours a day should 20 men take to complete the work in 12 days.
Solution:
Let's assume that the work to be completed is represented by W, and the total time taken to complete the work by T. Then, we can write the following equation:
W = (15 x 8 x 20) / T
We know that the work to be completed is the same in both cases, so we can write:
W = (20 x H x 12) / T
where H is the number of hours a day that 20 men should work to complete the work in 12 days.
Now, we can equate the two equations and solve for H:
(15 x 8 x 20) / T = (20 x H x 12) / T
Simplifying, we get:
H = (15 x 8 x 20) / (20 x 12)
H = 10
Therefore, 20 men should work 10 hours a day to complete the work in 12 days.
Answer: Option B) 10 hours
- 15 men take 20 days to complete a work working 8 hours a day.
- We need to find how many number of hours a day should 20 men take to complete the work in 12 days.
Solution:
Let's assume that the work to be completed is represented by W, and the total time taken to complete the work by T. Then, we can write the following equation:
W = (15 x 8 x 20) / T
We know that the work to be completed is the same in both cases, so we can write:
W = (20 x H x 12) / T
where H is the number of hours a day that 20 men should work to complete the work in 12 days.
Now, we can equate the two equations and solve for H:
(15 x 8 x 20) / T = (20 x H x 12) / T
Simplifying, we get:
H = (15 x 8 x 20) / (20 x 12)
H = 10
Therefore, 20 men should work 10 hours a day to complete the work in 12 days.
Answer: Option B) 10 hours
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15 men take 20 days to complete a work working 8 hours a day. How many number of hours a day should 20 men take to complete the work in 12 days?a) 15 hoursb) 10 hoursc) 20 hoursd) 12 hoursCorrect answer is option 'B'. Can you explain this answer?
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