Question

A tank has two outlets a and b,which together tske 6 hours to empty a full tank when they are opened simultaneously.The tank was initially half full snd both the outlets were opened.After 1 hour an inlet pipe x was also opened.If the inlet alone canfill an empty tsnk in 4h,how much time will it now take to fill the tank completely?

Answer 1

Answer:

9

Step-by-step explanation:

Given  

A tank has two outlets a and b,which together tske 6 hours to empty a full tank when they are opened simultaneously.The tank was initially half   full and both the outlets were opened.After 1 hour an inlet pipe x was also opened.If the inlet alone can fill an empty tank in 4 h,how much time will it now take to fill the tank completely?

Now given

Part of the tank filled in 1 hour = 1/4

Part emptied by A and B in 1 hr will be 1/6

Let the time taken to fill the tank completely be x hours.

So we get

x – 1 / 4 – x / 6 = 1/2  

3 x(x – 1) – 2 x / 12 = 1/2

3 x – 3 – 2 x = 6

x – 3 = 6

x = 6 + 3

x = 9

time  it will  take to fill the tank completely is 9 hrs