50 people can repair a road in 5 days, working 8 hours a day. In how many days will 20 people, working 10 hours a day, complete the work?
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people. days. hours
50 5 8
20 x 10
x=50/20 × 8/10 × 5
=10 days
50 5 8
20 x 10
x=50/20 × 8/10 × 5
=10 days
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20 people, working 10 hours a day, complete the work in 10 days if 50 people can repair a road in 5 days, working 8 hours a day
Given:
50 people can repair a road in 5 days, working 8 hours a day.
To Find:
Number of days 20 people will take working 10 hours a day to complete the work
Solution:
50 people can repair a road in 5 days, working 8 hours a day.
Hence total work = 50 * 5 * 8 = 2000 Man hours
20 people, working 10 hours a day
Hence work done in 1 day = 20 * 10 = 200 Man hours
Let say 20 people complete work in d days
Then Total work done = 200 * d Man hours
Equate Total work
200d = 2000
=> d = 10
Hence 20 people, working 10 hours a day, complete the work in 10 days if 50 people can repair a road in 5 days, working 8 hours a day
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