Word Problems

- 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?

- 0.8/8+x=5/100

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

- 1,601.6 miles

- 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 x, the amount of time it would take for Bethany and Colin to mow the lawn together?

- 1/4x+1/3x=1

- 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?

- 1mph

- Renee can sew a 25 square foot quilt in hours. Genera can sew the same size quilt in 12 hours. How long would it take to sew the quilt working together?

- 6 6/7 hours

- 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 time is 2 hours. Which equation can be used to find the distance from Bree's house to the library?

- x/6+x/12=2

- At a furniture manufacturer, worker a can assemble the same shelving unit in 3 hours, which equation can be used to find, the time it takes for worker A and worker B to assemble the shelving unit together?

- 1/5t+1/3t=1

- Kaitlyn can build a shed in 6 days. Mark can build the same shed in 8 days. which equation can be used to find d, the number of days it would take Kaitlyn and Mark to build the shed together?

- 1/6d+1/8d=1

- 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?

- 13.5/90-x=25/100

- 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?

- 4mph

- Aiden drives to school and back each day. The school is miles from his home. He averages0 miles per hour on his way to school. If his total trip takes 1 hour, at approximately what speed does Aiden drive home?

- 27mph

- Great plans to evaporate enough water from 22 gallons f 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?

- 3.52/22-n=24/100

- Lily takes a train each day to work that averages 35 miles per hour. On her way home, her train ride follows he 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 Lily's home is from her work?

- n/35+n/45=2.5

- 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?

- 62.5%