# If 7 men working 7 hrs a day for each of 7 days produce 7 units of work, then the units of work produced by 5 men working 5 hrs a day for each of 5 days is ?

2
by Nazee

2015-10-31T21:35:51+05:30

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7 men working 7 hrs a day for each of 7 days produce 7 units of work
7 men working 7 hrs a day for 1 day produce = 7/7 = 1 unit of work
7 men working 1 hr a day for 1 day produce = 1/7 unit of work
1 man working 1 hrs a day for 1 day produce = (1/7)/7 = 1/49 unit of work

5 men working 1 hrs a day for 1 day produce = 1/49 × 5 = 5/49 unit of work
5 men working 5 hrs a day for 1 day produce = 5/49 × 5 = 25/49 unit of work
5 men working 5 hrs a day for each of 5 days produce = 25/49 × 5 = 125/49 unit of work

∴ 5 men working 5 hrs a day for each of 5 days produce 125/49 unit of work
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2015-11-04T01:47:53+05:30

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7 men work 7 hrs a day, for 7 working days
=>  number of man hours = 7*7* 7 = 343      for doing 7 units of work
=>  in 1 man hour work done = 7/343 = 1/49  units.

Number of man hours 5 men working 5 hrs day for 5 working days in a week:
=> 5 * 5 * 5 = 125 man hrs

Work produced =  125 * 1/49 = 125/49 = 2.5 units

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