10 pipes are required to fill a tank in 1 hour 40 minutes. If we use 8 such pipes, the time it will take to fill the tank is ______?

10 pipes are required to fill a tank in 1 hour 40 minutes. If we use 8 such pipes, the time it will take to fill the tank is ______?

Explanation

Given:

10 pipes fill the tank in 1 hour 40 minutes = 100 minutes

Let's find the rate of 1 pipe:

Rate of 10 pipes = 1 tank / 100 minutes

Rate of 1 pipe = 1 tank / (10 × 100) minutes

= 1 tank / 1000 minutes

Rate of 8 pipes = 8 tanks / 1000 minutes

= 1 tank / (1000 / 8) minutes

= 1 tank / 125 minutes