15 men can reap 12 acres working 8 hours a day.How many men are required to reap 18 acres working 6 hours a day?
Answers
Given:
15 men can reap 12 acres working 8 hours a day
To find:
How many men are required to reap 18 acres working 6 hours a day?
Solution:
If 15 men can reap 12 acres working 8 hours a day
In 1 hour they can reap 12/8 acres of land
In one hour one person can reap 12/ (8)(15) acres
In 6 hours 1 person can reap (12*6)/ (8*15) acres= 3/5 acres
To reap 18 hours, number of people required will be 18/ (3/5) = 30
Therefore, 30 people will be needed to reap 18 acres working 6 hours a day.
Given : 15 men can reap 12 acres working 8 hours a day.
To Find : How many men are required to reap 18 acres working 6 hours a day?
Solution:
15 men can reap 12 acres working 8 hours a day.
=> 15 x 8 = 120 man hrs required to reap 12 acres
12 acres can reap in 120 man hrs
=> 1 acre can reap in 120/12 man hrs
=> 1 acre can reap in 10 man hrs
=> 18 acre can reap in 18 x 10 = 180 man hrs
men are working 6 hours a day
=> Number of men required = 180/6 = 30
30 Men required to reap 18 acres working 6 hours a day
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