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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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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? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 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? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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