Rational Work Problems

For Benny, it takes six hours to clean the attic. However, Mary takes twelve hours to clean the attic. If working together, how long would they take?

• 6

• 4

• 11

• 3

Joan can clean the store in five hours. If Dan helps, it takes them four hours. Without help, how long would it take Dan to complete this job ?

• 10

• 25

• 20

• 15

Sara takes eleven hours to vacuum the house. It takes Dan twelve hours to complete this job. How long would it take if they worked together?

• 2.54

• 6.43

• 5.74

• 4.32

Keith and Melanie were able to reupholster furniture in three hours together. It takes Melanie five hours to do this job alone. Without help, how long would it take Keith to do this job ?

• 5.5

• 6.5

• 7.5

• 8.5

Tim and Tom were able to reupholster furniture in four hours together. It takes Tom eleven hours to do this job alone. Without help, how long would it take Tim to do this job ?

• 6.12

• 7.32

• 6.29

• 9.34

Katherine can paint a room in 4 hours. Joe needs 6 hours to paint the same room. Which equation would you use to determine how long it takes them to paint the room if they work together?

Keith and Melanie were able to wax a car in three hours together. It takes Melanie five hours to do this job alone. Without help, how long would it take Keith to do this job ?

• 5.5

• 6.5

• 7.5

• 8.5

A boat goes 10 miles downstream in the same time it can go 3 miles upstream. The speed of the current is 2 miles per hour. Which equation could you use to find the speed of the boat in still water?

A plane flies 1225 miles with a tailwind in the same time it can go 1100 miles against the wind. The speed of the plane in still air is 575 miles per hour. Which equation would you use to find the speed of the wind?

George can build a laptop twice as fast as Kurt. Working together, it takes them 3 hours. Which equation would you use to determine how long it will take Kurt working alone?