A tap fills a tank in (a+b) hours and another tap empties the tank in (a-b) hours. If both the taps are opened together, the tank is filled/emptied in 'x' hours, What is the value of x ?
1
\(\frac{(a-b)(b-a)}{2b}\)
2
\(\frac{(a+b)(b-a)}{2a}\)
3
\(\frac{(a+b)(b-a)}{2}\)
4
\(\frac{(a+b)(b-a)}{2b}\)
5
\(\frac{(a+b)(b-a)}{b}\)