Question

Solve the following question and mark the best possible option.
A tank can be filled up by two pipes A and B in 2 hours and 3 hours respectively. A third pipe C can empty the full tank in 6hours. If all the taps can be turned on at the same time, the tank will be full in:

Options

• 1 hour

• 40 minutes

• `1 1/2` hours

• 3 hours

Answer 1

`1 1/2` hours

Net part filled in 1 hour = `1/2 + 1/3 - 1/6 = 4/6`

∴The tank will full in `6/4` hours, i.e. 1.5 hours.