61. A person X can complete 20% of work
in 8 days and another person Y can
complete 25% of the same work in
6 days. If they work together, in how
many days will 40% of the work be
completed?
Answers
Given : A person X can complete 20% of work in 8 days and another person Y can complete 25% of the same work in 6 days.
To Find : they work together, in how many days will 40% of the work be
completed
Solution:
Let say Work = 100W
A person X can complete 20% of work in 8 days
person X can complete work in 8 Days = (20/100)100W = 20W
=> person X can complete work in 1 Day = 20W/8 = 5W/2
A person Y can complete 25% of work in 6 days
person Y can complete work in 6 Days = (25/100)100W = 25W
=> person Y can complete work in 1 Day = 25W/6
Person X and Person Y together 1 Day work = 5W/2 + 25W/6
= ( 15W + 25W)/6
= 40W/6
40% of the work = (40/100)100W = 40W
Number of Days = 40W/(40W/6) = 6 Days
together, in 6 days 40% of the work be completed
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