Math work problem: drain and fill help
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Math work problem: drain and fill help

[From: ] [author: ] [Date: 11-12-30] [Hit: ]
thank you in advance!-With 500 gallons per minute entering and 300 gallons per minute leaking out, the net rate of filling the tank is 200 gallons per minute.In 1 hour, the net input to the tank is 60 minutes times 200 gallons per minute or 12000 gallons capacity.Capacity of tank is 60 * 200 = 12000 gallons of oil.......
the problem:

"Oil is poured into a large tank at the rate of 500 gallons per minute. At the same time, oil is leaked out at a rate of 300 gallons per minute. If it takes 1 hour to fill, how many gallons of oil can the tank hold?"

Please show me the step by step solution.

Correct me if I'm wrong but the basic formula for this problem is:

work = rate x time

thank you in advance!

-
With 500 gallons per minute entering and 300 gallons per minute leaking out, the net rate of filling the tank is 200 gallons per minute.

In 1 hour, the net input to the tank is 60 minutes times 200 gallons per minute or 12000 gallons capacity.

-
Solve:
500 gallons is filled per minute and 300 gallons is leaked out per minute then
oil hold in the tank per minute = 500 - 300 = 200 gallons
If it takes 1 hour to fill the tank than
1 hour = 60 minutes
Capacity of tank is 60 * 200 = 12000 gallons of oil.
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