b)5 men can do equal amount of work as 8 women. If 3 men and 5 women
combinely do job in 10 days, then how many woman required to finish it in
14 days?
2 answers
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5 men = 8 women(in terms of working capability)------[1]
now,3men + 5 women = 10.
their 1 day's work is:
3 men + 5 women = 1/10
=>30 men + 50 women = 1--------[2]
from [1],1 men = 8/5 women----[3]
[3] in [2],
30*8/5 women + 50 women = 1.
=>(48+50) women = 1.
=>98 women = 1.
that means, 98 women can do the work in 1 day.
therefore, in 14 days = 98/14 women can do it.
= 7 women.
now,3men + 5 women = 10.
their 1 day's work is:
3 men + 5 women = 1/10
=>30 men + 50 women = 1--------[2]
from [1],1 men = 8/5 women----[3]
[3] in [2],
30*8/5 women + 50 women = 1.
=>(48+50) women = 1.
=>98 women = 1.
that means, 98 women can do the work in 1 day.
therefore, in 14 days = 98/14 women can do it.
= 7 women.