P and Q can complete a work in 40 days and 24 days respectively. P alone started the work and Q joined him after 16 days till the completion of the work. How long did the work last? Choose the correct choice from the following answers
A) 5 days  B) 10 days  C) 14 days  D) 22 days  E) 25 days

Rationale: "explanation : work done by p in 1 day = 1 / 40 work done by q in 1 day = 1 / 24 work done by p in 16 days = 16 ã — ( 1 / 40 ) = 2 / 5 remaining work = 1 â € “ 2 / 5 = 3 / 5 work done by p and q in 1 day = 1 / 40 + 1 / 24 = 1 / 15 number of days p and q take to complete the remaining work = ( 3 / 5 ) / ( 1 / 15 ) = 9 total days = 16 + 9 = 25 answer : option e"
Answer: E