Question

Two water taps together can fill a tank in 75/3.the tap of large diameter takes 10 hr less than than the smaller oneto fill the tank separately. Find the time in which each tap can separately fill the tank.

Answer 1

suppose tap having small diameter takes 't' hrs to fill the tank.
so, time for larger diameter= t-10 hrs
Now for smaller diameter,
it takes t hrs to fill 1 tank.
so in 75/3(ie 25 hr) = 25/t tank

similarly for larger diameter= 25/(t-10) tank
so, we can write,


$\frac{25}{t} - \frac{25}{t - 10} = 1$
t= 12.07
so one tap will fill the tank in 12.07hrs and another in 2.07 hrs