Question

an aquarium tank can hold 6000 liters of water. there are two pipes that can be used to fill the tank. the first pipe alone can fill the tank in 50 minutes. the second pipe can fill the tank in 75 minutes by itself. when both pipes are working together, how long does it take them to fill the tank? minutes

Explanation:

Step1: Find rate of each pipe

The first pipe fills 6000 liters in 50 minutes, so its rate is $\frac{6000}{50} = 120$ liters per minute.
The second pipe fills 6000 liters in 75 minutes, so its rate is $\frac{6000}{75} = 80$ liters per minute.

Step2: Combined rate of both pipes

When working together, their combined rate is $120 + 80 = 200$ liters per minute.

Step3: Time to fill the tank together

The tank holds 6000 liters. Time = Volume / Rate, so time is $\frac{6000}{200} = 30$ minutes.

Answer:

30