Word Problems Answers

The table below represents Bree’s trip from her home to the library and back. On her way to the library, she travels at 6 miles per hour. On her way home, she travels at 12 miles per hour. The total travel time is 2 hours. Which equation can be used to find the distance in miles from Bree’s house to the library? Distance (mi)Rate (mph)Time (hr)Trip to Libraryx6 mphTrip to Homex12 mph

A plane flies round-trip to Philadelphia. It flies to Philadelphia at 220 miles per hour and back home with a tailwind at 280 miles per hour. If the total flying time takes 6.5 hours, how many miles does the plane fly round trip?

Aidan drives to school and back each day. The school is 16 miles from his home. He averages 40 miles per hour on his way to school. If his total trip takes 1 hour, at approximately what average speed does Aidan drive home? Distance (mi)Rate (mph)Time (hr)Trip to School1640 Trip Home16x

Four cups of pure water are added to a 20-cup bowl of punch that is 75% juice. What percentage of the new punch is juice? Original(Cups)Added(Cups)New(Cups)Amount of Juice150 Amount of Punch204

Carlon plans to evaporate a number of gallons of water from 90 gallons of a 15% salt solution to make a 25% salt solution. Which equation can he use to find x, the number of gallons that should be evaporated? Original (Gallons)Removed (Gallons)New (Gallons)Amount of Salt13.5 0 Amount of Solution90 x

At a furniture manufacturer, worker A can assemble a shelving unit in 5 hours. Worker B can assemble the same shelving unit in 3 hours. Which equation can be used to find t, the time in hours it takes for worker A and worker B to assemble a shelving unit together? Rate(Shelving Units per Hour)Time(Hours)Fraction CompletedWorker At Worker Bt

A boat has a speed of 5 mph in calm water. It takes the boat 3 hours to travel upstream but only 2 hours to travel the same distance downstream. Using the data in the table, what is the value of c, the speed of the current? Distance (mi)Rate (mph)Time (hr)Upstream3Downstream2

Lilly takes a train each day to work that averages 35 miles per hour. On her way home, her train ride follows the same path and averages 45 miles per hour. If the total trip takes 2.5 hours, which equation can be used to find n, the number of miles Lilly’s home is from her work? Distance(mi)Rate(mi/hr)Time(hr)Trip to Workn35 mph Trip Homen45 mph

Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation can he use to find n, the number of gallons of water he should remove?

Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours. Which equation can be used to find the number of hours, x, it would take for Bethany and Colin to mow the lawn together? Rate(Lawns per Hour)Time(Hours)Fraction CompletedBethanyxxColinxx