5 men complete a work in 5 days and 5 girls take 6 days to complete the same work. How many days will 3 men and 3 girls together take to complete the work approximately? (answer is to be rounded off to the nearest decimal)
Answers
Given : 5 men complete a work in 5 days and 5 girls take 6 days to complete the same work.
To Find : How many days will 3 men and 3 girls together take to complete the work approximately
Solution:
5 men complete a work in 5 days
=> 5 * 5 = 25 Man days
=> 1 men complete a work in 25 days
=> 1 men 1 day work = 1/25
=> 3 men 1 day work = 3/25
5 girls take 6 days to complete the same work
=> 5 * 6 = 30 girls days
=> 1 girl complete work in 30 days
=> 1 girl 1 day work = 1/30
=> 3 girl 1 day work =3/30 = 1/10
Hence 3 men and 3 girls together completed work in 1 day = 3/25 + 1/10
= ( 12 + 10)/100
= 22/100
Time taken to complete the work = 100/22 = 50/11
= 4.545
= 4.5 Days
3 men and 3 girls together take to complete the work approximately in 4.5 Days
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