A man and a boy complete a work together in 24 days. If for the last 6

1.	A man and a boy complete a work together in 24 days. If for the last 6 day.man alone does the work then it is completed in 26 days. How long the boywill take to complete the work alone?(S.S.C. 2005(a) 72 days () 20 days(e) 24 days (d) 36 days
Answer» man and a boy can complete a work together in 24 dayswork done by a man and a boy in 1 day = 1/24 In the second case, a man and boy work together for 20 days.work completed = 20/24 = 10/12 = 5/6remaining work = 1/6 1/6 of the work is completed by 1 man in 6 daysor a man can complete the entire work in 36 days=> work done by a man in 1 day = 1/36 work done by a boy in 1 day = 1/24 - 1/36 = 1/72a boy alone can complete the work in 72 days

A man and a boy complete a work together in 24 days. If for the last 6 day.man alone does the work then it is completed in 26 days. How long the boywill take to complete the work alone?(S.S.C. 2005(a) 72 days () 20 days(e) 24 days (d) 36 days

Answer»

man and a boy can complete a work together in 24 dayswork done by a man and a boy in 1 day = 1/24

In the second case, a man and boy work together for 20 days.work completed = 20/24 = 10/12 = 5/6remaining work = 1/6

1/6 of the work is completed by 1 man in 6 daysor a man can complete the entire work in 36 days=> work done by a man in 1 day = 1/36

work done by a boy in 1 day = 1/24 - 1/36 = 1/72a boy alone can complete the work in 72 days