Question

Two water taps together can fill a tank in one hour and twelve minutes. The tap
of smaller diameter takes 1 hour more than the larger one to fill the tank
separately. Find the time in which each tap can separately fill the tank​

Answer 1

Answer:

let the time taken by the big diameter tap be 1/x

and the small diameter tap be 1/x+1

the the answer starts like this:

1/x+1/x+1=1hr12min

1/x+1/x+1=72min

take LCM

thenx+1+x/x^2+x=72

2x+1×72=x^2+x then the eq comes

x^2-71x-72

solve the eq