Two taps `A` and `B` supply water at temperature `10^(@)C` and `50^(@)C` respectively . Tap `A` alone fills the tank in `1` hour and tap `B` alone fills the tank in `3` hour. If we open both the taps together in the empty tank , if the final temperature of the water in the completely filled tank is found to be `5alpha ("in" "^(@)C)` . Find the value of `alpha`. Neglect loss of heat to surrounding and heat capacity of the tank.

Answer

4

Explanation

`m(T-10)s = (m)/(3)S(50-T) implies T = 20^(@)`