When A alone does a piece of work, he takes 25 days more than the time taken by A and B to do the work together. On the other hand, B alone takes 16 days more than the time taken by A and B to do the work together. How many days will A and B, working together, take to do the work?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 20.
Given that
A alone takes 25 days more than the time taken by A and B to do the work together
B alone takes 16 days more than the time taken by A and B to do the work together
Let the time taken by A and B to do work together be D
According to the question;
D = √(25 × 16) = 5 × 4 = 20 days
Hence, the time taken by A and B to do work together is 20 days.