Question

You are asked to use two pipes A and B to fill a tank that has another pipe C at the bottom of it. Given that pipes A and B can fill the tank in 15 and 20 minutes, respectively and pipe C can empty 5 gallons per minute from the tank In the given context, what is the capacity of the tank if all three pipes working together can fill the tank in 10 minutes?

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Answer 1

Answer:

300

Explanation:

Answer 2

capacity of the tank is 300 gallons  Explanation:

• part of the tank filled when all the 3 pipes are opened in 1 minute is (1/10)
• part of the tank filled when (A+B) are opened in 1 minute is  

                      1/15 + 1/20 = (4+3)/60 = 7/60.

• part of the tank occupied by C in 1 minute is

7/60 - 1/10 = 1/60

• capacity = 1/60, power of the tank ==> 5 gallons

capacity of the tank ==> 60*5 = 300 gallons

hence, capacity of the tank is 300 gallons