An outlet pipe empties a tank which is full in 10 hours.

An outlet pipe empties a tank which is full in 10 hours. If the inlet pipe is kept open, which lets liquid in at the rate of 8 litres/min then outlet pipe would take 6 hours longer. Find the capacity of the tank.

Quiz

Answer/Solution

12800 litres

Steps/Work

Let the rate of outlet pipe be x liters/hour;
Rate of inlet pipe is 8 litres/min, or 8*60 = 480 liters/hour;
Net outflow rate when both pipes operate would be x-480 liters/hour.
Capacity of the tank = x*10 hours = (x-480)*(10+6) hours
10x=(x-480)*16 --> x=1280 --> capacity = 10x = 12800 liters.
Answer: B

Physics Calculator / Auto Solver

An outlet pipe empties a tank which is full in hours. If the inlet pipe is kept open, which lets liquid in at the rate of litres / min then outlet pipe would take hours longer. Find the capacity of the tank.

Calculated Answer

12800

Step by Step Solution

In order to solve problem, you must evaluate n0 * ((n0 + n2) * n1 * 60) / n2.

n0 =10
n1 =8
n2 =6