Question

two taps a and b can fill a swimming pool in 5 hours. If turned one alone, it takes tap a 3hours less than tap b to fill the same pool. how many hours does it take tap a to fill the pool?

Answer 1

I think tap b takes 2hrs time to fill a swimming pool

Answer 2

let time taken by Tap A be x hrs.

So,time taken by B=(x+3) hrs

Now

1/x+1/(x+3)=1/5

x+3+x/(x(x+3)=1/5

(2x+3)/x^2+3x=1/5

(2x+3)×5=1×(x^2+3x)

10x+15=x^2+3x

x^2+3x-10x-15=0

x^2-7x-15=0

solve it

As you have interchanged the values that's why it goes long

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