Outlet Pipe A can empty a tank in 15 hr and another inlet pipe B can fill the same tank in 10 hr and third inlet pipe C can fill the water at the rate of 60 ltr/ hr. All the pipe opened together then the tank fill in 6 hr. Find the capacity of tank ?
Answers
Answer:
I don't know about this question
Answer:
450 ltr
Step-by-step explanation:
Let the capacity of the tank = X liters
Pipe A takes 15 hrs to empties the tank.
∴ Rate of tank A per hr = A = X ÷ 15 L / hr ....(This rate will be subtracted as its outlet pipe) .....(1)
Pipe B the fills the tank in 10 hrs.
∴ Rate of pipe B = B= X ÷ 10 L/hr ............(2)
Rate of pipe C = 60 L/hr ................(3)
When all pipes opened, tank fills in 6 hr.
∴ Combined rate of filling the tank T = X / 6 L/hr ....(4)
∴ we can write, total rate of filling the tank
T = (-A) + B + C ....(A is sbtracted as it is an utlet pipe)
∴ X/6 = (-X/15)+X/10 + 60
∴ X/6 + X/15 - X/10 = 60
∴ 7X/30 -X/10 = 60
∴ 7X-3X=1800 => 4X=1800
∴ X = 450 Liters
∴ Capacity of the tank = 450 liters