A man can do a piece of work in 5 days. He and his son working together can
finish it in 3 days. In how many days can the son do it alone?
a) 6 ½ days
b) 7 days
c) 7 ½ days
d) 8 days
we know that,
Number of days man required to do a piece of work = 5 days
Number of days his son required to do a piece of work = 3 days
Let us consider the number of days both man and his son require = x days
∴ We can calculate, work done by man in 1 hour = 1/5
Work is done by his son in 1 hour = 1/x
Now, work done by both man and his son together in a 1 hour= 1/3
Now, work is done by both man and his son together in 1 hour =1/5 + 1/x = x+5/5x
x+5/5x = 1/3
3x + 15 = 5x
2x =15
x = 15/2
x = 7 ½
∴ Son alone can do work together in 6 days
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