Rational Equations Word Problems Test

Amy travels the country as a singer. For her first trip, she drove from St. Charles to Port Smith, a distance of 2400 miles. Her second trip from Port Smith to Amastland was 3600 miles and took the same amount of time as the first trip. If Amy's speed was 30 miles per hour slower on the first trip versus the second trip, what was her average rate of speed on the second trip?

Abby can travel 48 miles downstream in the same time it takes her to go 24 miles upstream. Her boat goes 6 miles per hour in still water. What is the speed of the current?

When Jason works alone, he can paint the fence in 12 hours. When Sandy paints the same fence, it takes her 36 hours. How long would it take to paint the fence if they work together?

Working together, Al and Steve can clean the interior of a plane in 1 hour and 15 minutes. When Al works alone, it takes him 1 hour and 40 minutes. How long does it take Steve to clean the interior of the plane, if he works alone?

A local assembly shop uses water tanks for cooling purposes. The inlet pipe can fill an empty water tank in 1 hour, while the outlet pipe takes 3 hours to empty a full water tank. If both pipes are turned on at the same time, how long would it take to fill an empty tank?