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 To build a house, 5 men take 60 days working 8 hours each day. In how many days 2 such houses can be built by 8 men working 10 hours each day?
  • a)
    75
  • b)
    50
  • c)
    20
  • d)
    60
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
To build a house, 5 men take 60 days working 8 hours each day. In how ...
D) 60
Explanation: Building 1 house is 1, 2 houses is 2, so M1*D1*H1*W2 = M2*D2*H2*W1
5*60*8*(2) = 8*D2*10*(1)
Solve, D2 = 60
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To build a house, 5 men take 60 days working 8 hours each day. In how ...
Given:
5 men take 60 days working 8 hours per day to build a house.

To find:
In how many days 2 such houses can be built by 8 men working 10 hours per day.

Solution:
Let's calculate the total man-hours required to build one house:
Total man-hours = 5 men * 60 days * 8 hours per day
Total man-hours = 2400

Now, let's calculate the total man-hours required to build two houses with the given conditions:
Total man-hours = 2 * 2400
Total man-hours = 4800

We know that 8 men working 10 hours per day can complete the work, so let's calculate their total man-hours in a day:
Total man-hours per day = 8 men * 10 hours per day
Total man-hours per day = 80

Now, let's calculate the number of days required to complete the work:
Number of days = Total man-hours required / Total man-hours per day
Number of days = 4800 / 80
Number of days = 60

Therefore, 2 such houses can be built by 8 men working 10 hours per day in 60 days.

Answer: Option D) 60.
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