Working alone two pipes A and B require 9 hours and 6 25 hours more respectively to fill a pool than...........

Quant (SSC) Pipes&cistern

Working alone, two pipes A and B require 9 hours and 6.25 hours more respectively to fill a pool than if they were working together. Find the total time taken to fill the pool if both were working together.

6.5

7.5

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Explanation:

Let the time taken if both were working together be 'n' hours.
=> Time taken by A = n + 9
=> Time taken by B = n + 6.25
In such kind of problems, we apply the formula : n2 = a x b, where 'a' and 'b' are the extra time taken if both work individually than if both work together.
Therefore, n2 = 9 x 6.25
=> n = 3 x 2.5 = 7.5
Thus, working together, pipes A and B require 7.5 hours.