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

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

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

Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. Which equation can he use to find x, the number of gallons of water he should add? Original(Gallons)Added(Gallons)New(Gallons)Amount of Bleach0.800.8Amount of Solution8x8 + x

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

Marina can bicycle 19.5 miles in the same time it takes her to run 6 miles. She bikes 9 miles per hour faster than she runs. At what speed does Marina run? Distance (mi)Rate (mph)Time (hr)Bicycling19.5Running6r

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

How many liters of water should be added to 18 liters of a 14% bleach solution so that the resulting solution contains only 10% bleach? Original (L)Added (L)New (L)Amount of Bleach2.520 Amount of Solution18x

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?