Rational Equation Word Problems

Peter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it take for them to mow the lawn together?

• 48 minutes
• 50 minutes
• 24 minutes
• 12 minutes

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.SSE.A.1

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

Tags

CCSS.HSA.CED.A.1

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

Tags

CCSS.HSA.CED.A.1

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

Tags

CCSS.HSA.CED.A.1

One computer can process payroll in 4 hours and a different computer can process it in 6 hours. If they start working at 10:00 a.m., when will they be done?

• 11:30 a.m.

• 1:00 p.m.

• 12:24 p.m.

• 12:48 p.m.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.6

CCSS.HSA.SSE.A.1

Which of the following equations makes the most sense for the following situation: Jerry works twice as fast as Kenny. If Jerry works for 2 hours and is then joined by Kenny...and they work an additional 3 hours...how fast could they each do the job alone?

• $\frac{5}{x}+\frac{3}{2x}=1$

• $\frac{5}{2x}+\frac{3}{x}=1$

• $\frac{x}{3}+\frac{2x}{5}=1$

• $\frac{5}{x}+\frac{3}{x-2}=1$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2