Question

A pipe c can fill the tank in 24 minutes alone and in 14.4 minutes along with pipe y what is the time required by the pipe y to fill the tank completely alone

Answer 1

Answer:

Time taken by pipe y alone to fill the tank is 36 minutes.

Step-by-step explanation:

Given:

Time taken by pipe c alone to fill the tank = 24 minutes

Time taken by pipe c and pipe  y to fill the tank = 14.4 minutes

To find: Time taken by pipe y to fill the tank alone

let x be the time taken by pipe y to fill the tank.

Tank filled by pipe c in 1 minute = 1/24

Tank filled by pipe y in 1 minute = 1/x

Tank filled by pipe c and pipe y in 1 minute = 1/14.4 = 10/144 = 5/72

According to the Question,

1/24 + 1/x = 5/72

(x+24)/24x = 5/72

72( x + 24 ) = 5( 24x )

72x + 1728 = 120x

120x - 72x = 1728

48x = 1728

x = 1728/48

x = 36

Therefore, Time taken by pipe y alone to fill the tank is 36 minutes.