A works alone he would take 4 days more to complete the job than if both A and B worked together If...........

Quant (SSC) Time and work

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 both A and B work together. How many days would they take to complete the work if both of them worked together?

10 days

12 days

6 days

8 days

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Explanation:

If A working alone takes ‘x’ days more than A and B, and B working alone takes ‘y’ days more than
A & B together then the number of days taken by A & B working together is given by √xy days
A's time = x = 4 days
B's time = y = 16 days
By the short trick approach:
= √4 x 16 = √64 = 8 days