Applications of Rational Expressions Test

Working together, it takes James and Mark 2 hours to mow the fields at a local sports complex. Working alone, James can mow the fields in 6 hours. How long does it take for Mark to mow the fields when working alone?

An inlet pipe can fill a swimming pool in 10 hours, while an outlet pipe can empty it in 20 hours. If the pool is completely empty and both pipes are turned on, how long will it take for the pool to be full?

Working alone, Nermal can water all of the plants in the greenhouse in 6 minutes. When Odie waters the same plants, it takes him 12 minutes. If Odie and Nermal worked together, how long would it take to water the plants in the greenhouse?

In still water (no current), Jennifer’s boat travels at 12 mph. On a local river, Jennifer can go 6 miles upstream (against the current) in the same amount of time as she can go 10 miles downstream (with the current). What is the speed of the current in the local river?

Matt averaged 50 mph as he drove from Lamp Bay to Clarkston. He calculated that an average rate of 60 mph would have decreased his driving time by 3 hours. What is the distance from Lamp Bay to Clarkston?