Question

An aquarium tank can hold liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can fill the tank in minutes. The second pipe can fill the tank in minutes by itself. When both pipes are working together, how long does it take them to fill the tank

Answer 1

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

An aquarium tank can hold 6600 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can fill the tank in 55 minutes. The second pipe can fill the tank in 66 minutes by itself. When both pipes are working together, how long does it take them to fill the tank?

Given Information:

Time to fill tank by first pipe = 55 minutes

Time to fill tank by first pipe = 66 minutes

Total capacity  of tank = 6600 liters

Required Information:

Time required to fill tank when both pipes are working together = ?

Answer:

Time required to fill tank when both pipes are working together = 30 mins

Step-by-step explanation:

The rate of filling the tank of the first pipe is,

first pipe = $\frac{6600}{55} = 120$ $L/m$

The rate of filling the tank of the second pipe is,

second pipe = $\frac{6600}{66}= 100$ $L/m$

Let x is the time to fill the tank when both pipes are used so the equation becomes,

$120 + 100 = \frac{6600}{x}$

$120x + 100x = 6600$

$220x = 6600$

$x = \frac{6600}{220}$

$x = 30$ $mins$

Therefore, it would take 30 minutes to fill the entire tank when both pipes are used to fill the tank.