Question

Two water taps together can fill a tank in 4 2/8 hours.The tap of larger diameter takes 20 hours less than the smaller one to fill the tanks seperately.Find the time in which each tap can seperately fill the tank.​

Answer 1

Answer:

Time taken by tap with diameter=x

Time taken by tap with larger diameter =x-20

part of tank filled by smaller tap=1/x

part of tank filled by larger tap=1/x-20

part together the fill =1/x+1/x-20

2x-20/x^2+20x=4/17

34x-340=4x^2-80x

4x^2-80x-34x+340=0

this is the equation

factorise to get answer