Question

Someone please answer this please

Answer 1

Let time take by A is x hrs

Let time taken by B is x - 5 hrs

Calculate amount of water filled in 1 hr

1/x + 1/(x - 5) = 1/6

[(x - 5) + x] / x(x-5) = 1/6

6(2x - 5) = x^2 - 5x

12x - 60 = x^2 - 5x

X^2 - 17x + 60 = 0

X^2 - 12x - 5x + 60 = 0

X (x - 12) - 5(x - 12) = 0

(x - 5) (x - 12) = 0

X = 5 and 12

For x = 5 Tap B will take 0 hrs which is not possible.

So consider 12

Tap A will take 12 hrs

Tap B will take 7 hrs


Thanks