A man and a boy can complete a work together in 24 days. If the last six days man alone does the work then it is completed in 26 days. How long the boy will take to complete the work alone?

72

According to the question if the work finish by man in 26 days while working last 6 days alone, it means boy left after 20 days.

Hence, the condition is "If boy does not work 4 days, man has to work 2 days extra to finish the work".

So,

⇒ 4 days of Boy's work = 2 days of Man's work

Ratio of efficiency = Man : Boy = 2 : 1

Total Work = 24 x 3 = 72

Boy alone will complete the work in = \(\frac{72}{1}\) = 72 days