Question

An inlet pipe can fill a tank in 10 minutes. A drain can empty the tank in 12 minutes. If the tank is empty, and both the pipe and drain are open, how long will it take before the tank overflows?

Answer 1

Answer: Total time taken by them would be 60 minutes = 1 hour before the tank overflows.

Step-by-step explanation:

Since we have given that

Time taken by an inlet pipe =10 minutes

Time taken by a drain = 12 minutes

So, if both are open together,

Total work done by them would be

$\dfrac{1}{10}-\dfrac{1}{12}\\\\=\dfrac{6-5}{60}\\\\=\dfrac{1}{60}$

So, total time taken by them would be 60 minutes = 1 hour before the tank overflows.