Medal !!

A large container is being filled with water at the rate of
2 3/4 gallons per minute. If the container leaks at the rate of 1/8 gallons per minute, how long would it take to fill a 14-gallon container?

Question

Medal !!


A large container is being filled with water at the rate of 
2 3/4 gallons per minute. If the container leaks at the rate of 1/8 gallons per minute, how long would it take to fill a 14-gallon container?

calculusxy · Answer

@Mertsj

mertsj · Answer

Let x = number of minutes to fill the container
$$2.75x-.125x=14$$

wolf1728 · Answer

It is filling at 2 3/4 - 1/8 = 2 5/8 gallons per minute. It is a 14 gallon container so we are solving for Time. Here's a handy calcualtor: http://www.1728.org/flow.htm So time = 5.3333 minutes

calculusxy · Answer

How do you calculate time?

wolf1728 · Answer

That calculator shoud really be used to check your work, so I'll work that out the long way.

wolf1728 · Answer

2.625 gallons per minute
container is 14 gallons

time = 14 gallons / 2.625 gallons / minute
time = 14/2.625 minutes =
5.3333333333 minutes

calculusxy · Answer

Thank you. Can I also divide fractions to also compute time?

wolf1728 · Answer

Just see what I posted above your posting.

calculusxy · Answer

Ok. But thanks.

wolf1728 · Answer

But you do see it right?  (The calculator is really handy to chekc the work though) :-)