Lesson 1.4: Word Problems Answers

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

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

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

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

Renee can sew a 25-square-foot quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long would it take them to sew the quilt working together? Rate(Quilts per Hour)Time(Hours)Fraction CompletedReneex Generax

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

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

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

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?