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Solving Problems involving rational Functions

A local brewery has a vat that can be completely filled with beer from the inlet pipe in 60 minutes. The outlet pipe can completely drain a full vat in 80 minutes. If for some reason, both pipes are left open, how long would it take to completely fill an empty vat?

Jason's car uses 20 gallons of gas to travel 400 miles. If Jason currently has 7 gallons of gas in his car, how much gas is needed to travel 200 miles?

Ali livia can wash and wax the car in 3 hours .Ahmed takes 4 hours .if they work togather ,how long will it take them ?

one hose can fill a swimming pool in 6 hour if it works by itself . a different hose needs 8 hours to fill the same pool. How long will it take to the pool if both hoses are used together?

Michelle, a basketball player, has made 16 of her 20 free throws this season. If she never misses again, how many free throws would she need to shoot to have a shooting percentage of 90 percent?

A basketball player have made 5 out of the last 7 free throws. How many more consecutive free throws do they need to make to have an average of 80%?

You earn a 75% on the first test of the quarter how many consecutive 100% test scores do you need to bring your test average up to a 95%?

Dimitri can his boat downstream 15 miles in the same amount of time as it takes him to row upstream 8 miles. If the current in the river is 2 mph, how fast can Dimitri row in still water ?

Shelley can paint a fence in 8 hours. Karen can do it in 4 hours. How long will it take them to do the job if they work together ?

When andy and john work together, a job takes 2 hours when john does the same job alone, it will take 3 fewer hours than if andy does the job alone. How will it take andy to do the job himself?