A man and a boy complete a work together in 24 days. If for the last 6 days man alone does the work then it is completed in 26 days. How long the boy will take to complete the work alone?
Options
A) 72 days
B) 20 days
C) 24 days
D) 36 days
E) 34 days

Rationale: explanation : ( man + boy ) ’ s 1 day ’ s work = 1 / 24 their 20 day ’ s work = 1 / 24 × 20 = 5 / 6 the remaining 1 / 6 work is done by the man in 6 days therefore , the man alone will finish the work in 6 × 6 days = 36 days man ’ s 1 day ’ s work = 1 / 36 therefore , boy ’ s 1 day ’ s work = 1 / 24 – 1 / 36 = 3 – 2 / 72 = 1 / 72 therefore , the boy alone will finish the work in 72 days . answer : option a
Answer: A