Question

A man and a boy can complete a work together in 24 days. if for the last six days man alone does the work

Answer 1

Answer:

The boy alone to complete the work in 72 days.

Solution:

A man and boy work together to complete the work = 24 days

(Man + boy)'s 1 day work = 1/24

for the last six days, man alone does the work then it is completed in 26 days.

So, Man and boy work together for 20 days.

Man and boy 20 days work = 20 * 1/24 = 20/24 = 5/6

Remaining work = 1 - 5/6 = 1/6

1/6 of work is completed by a man in 6 days.

i.e man's 1 day work = 1/36

1/36 + boy 1 day work = 1/24

Boy 1 day work = 1/24 - 1/36 = 1/72.

Hence, the boy alone to complete the work in 72 days.