Q1.if 12 man or 18 women harvest a field in 14 days , than in how many days will 8 men and 16 women harvest the field together.
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Explanation:
Given
12 man or 18 women harvest a field in 14 days
To find
We have to calculate in how many days will 8 men and 16 women harvest the field together
SOLUTION:
let the total work to be done be 1
In One day work 12 man and 18 women can do work = 1/14 of 1
work of 1 men and 1 woman= 1/14*12 and 1/14*18
= 1/168 and 1/252
Work done by both men and women in days:
=> 8(1/168)+16(1/252)
=>1/21+4/63
=>3+4/63= 7/63
= 1/9
Hence, 8 men and 16 women can do 1/9 work in one day
e.g.,=> 1/9 = 1
=> 1/9 ( work completed)= 1
=> work completed = 1÷1/9
work completed = 9
Therefore, 8 men and 16 women can do work in 9 days.
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