Question

Three taps together can fill a tank in 10 minutes. The first tap alone can fill it in 30 minutes and the second tap alone in 25 minutes. In how much time will the third tap alone fill the tank? ​

Answer 1

Step-by-step explanation:

Pipe A,B and C can together fill the tank in 10 minutes.

So, Pipe (A + B + C)'s 1 minute work = 1/10

Pipe A alone can fill it in 30 minutes.

So, Pipe A's 1 minute work = 1/30

Pipe B alone can fill it in 25 minutes.

So, Pipe B's 1 minute work = 1/25

Pipe (A+B)'s 1 minute work = (1/30+1/25)

= 11/150

Pipe C's 1 minute work = (1/10-11/150)

= 2/75

= 1/37.5

Pipe C alone can fill the tank in 37.5 minutes or 37 minutes and 30 seconds.

Hope it helps...