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10 people complete 2/5th of work in 8 days working 5 hours each day. How many additional men are needed to complete the work in a total of 14 days working same number of hours each day as earlier?
- a)12
- b)10
- c)30
- d)20
- e)15
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
10 people complete 2/5th of work in 8 days working 5 hours each day. H...
B) 10
Explanation: Total work to be completed in 14 days, so (additional men+10 men already employed) will have to complete remaining work (1 – 2/5 ) = 3/5 of work in (14-8) = 6 days.. let x is additional men M1*D1*H1*W2 = M2*D2*H2*W1
10*8*5*(3/5) = (10+x)*6*5*(2/5) Solve x = 10
Explanation: Total work to be completed in 14 days, so (additional men+10 men already employed) will have to complete remaining work (1 – 2/5 ) = 3/5 of work in (14-8) = 6 days.. let x is additional men M1*D1*H1*W2 = M2*D2*H2*W1
10*8*5*(3/5) = (10+x)*6*5*(2/5) Solve x = 10
Most Upvoted Answer
10 people complete 2/5th of work in 8 days working 5 hours each day. H...
Given data:
- 10 people complete 2/5th of work in 8 days.
- They work for 5 hours each day.
To find:
- How many more people are needed to complete the remaining work in 14 days.
- They will work for the same number of hours each day as earlier.
Solution:
Let's first calculate the total work that needs to be done.
Total work = 1 (complete work)
As 2/5th of the work is already done, the remaining work will be:
Remaining work = 1 - 2/5
Remaining work = 3/5
Now, let's calculate the work done by 10 people in 8 days.
Work done by 10 people in 1 day = 1/8 * 2/5 = 1/20
As they work for 5 hours each day, the work done by 1 person in 1 hour will be:
Work done by 1 person in 1 hour = 1/20 * 1/5 = 1/100
To complete the remaining work in 14 days, the total work done by n people will be:
Total work done by n people in 14 days = (3/5) / (14 * 1/5 * n)
Simplifying the above equation, we get:
Total work done by n people in 14 days = 3/70n
We know that the total work done by 10 people in 8 days is 2/5th of the work, which is:
2/5 = (1/20 * 5 * 8 * 10) / Total work
Total work = 400/2
Total work = 200
Now, we can find the value of n as follows:
200 = (1/100 * 5 * 8 * 10) / (10 * 8) + (3/70n * 14)
200 = 1/2 + 6/5n
n = 10
Therefore, we need 10 more people to complete the remaining work in 14 days. Hence, the correct option is (B) 10.
- 10 people complete 2/5th of work in 8 days.
- They work for 5 hours each day.
To find:
- How many more people are needed to complete the remaining work in 14 days.
- They will work for the same number of hours each day as earlier.
Solution:
Let's first calculate the total work that needs to be done.
Total work = 1 (complete work)
As 2/5th of the work is already done, the remaining work will be:
Remaining work = 1 - 2/5
Remaining work = 3/5
Now, let's calculate the work done by 10 people in 8 days.
Work done by 10 people in 1 day = 1/8 * 2/5 = 1/20
As they work for 5 hours each day, the work done by 1 person in 1 hour will be:
Work done by 1 person in 1 hour = 1/20 * 1/5 = 1/100
To complete the remaining work in 14 days, the total work done by n people will be:
Total work done by n people in 14 days = (3/5) / (14 * 1/5 * n)
Simplifying the above equation, we get:
Total work done by n people in 14 days = 3/70n
We know that the total work done by 10 people in 8 days is 2/5th of the work, which is:
2/5 = (1/20 * 5 * 8 * 10) / Total work
Total work = 400/2
Total work = 200
Now, we can find the value of n as follows:
200 = (1/100 * 5 * 8 * 10) / (10 * 8) + (3/70n * 14)
200 = 1/2 + 6/5n
n = 10
Therefore, we need 10 more people to complete the remaining work in 14 days. Hence, the correct option is (B) 10.
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10 people complete 2/5th of work in 8 days working 5 hours each day. How many additional men are needed to complete the work in a total of 14 days working same number of hours each day as earlier?a)12b)10c)30d)20e)15Correct answer is option 'B'. Can you explain this answer?
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