Question

If A works alone, he would take 4 days more to complete the job than if both A and B worked together. If B worked alone, he would take 16 days more to complete the job than if A and B work together. How many days would they take to complete the work if both of them worked together?​

Answer 1

Solution :-

Let x days are taken when they work together.

We know Time taken by A to complete the work = (x + 4) days

And Time taken by B to complete the work = (x + 16) days

=) 1/x = 1/x + 4 + 1/x + 16

=) 1/x = x + 16 + x + 4/(x + 4) (x + 16)

=) 2 × 2 + 20x = x² + 20x +64

=) x² = 64 (8)²

=) x = 8 days