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It took Mr. Jones as much time to drive 180 miles as it took Mr. Smith to drive 135 miles. Mr. Jones drove 15 mph faster than Mr. Smith. What was Mr. Jones’s speed?

A Corvette can travel 368 miles in the same amount of time that it takes a Prius, that is traveling 35 m.p.h. slower, to cover 228 miles. Set up a table to find the speed of the two cars.

#1

#1

Solve:

#2

D

A

C

A Corvette can travel 368 miles in the same amount of time that it takes a Prius, that is traveling 35 m.p.h. slower, to cover 228 miles. Which table below has been set up correctly to find the speed of the two cars?

A Corvette can travel 368 miles in the same amount of time that it takes a Prius, that is traveling 35 m.p.h. slower, to cover 228 miles. Which table below has been set up correctly to find the speed of the two cars?

Rational Expressions Test (Study Guide #2)

Name_________________1

Simplify

3)

1)

2)

4)

5)

6)

8)

9)

7)

Solve:

12)

10)

11)

13)

14)

15)

16)

18)

17)

It took Mr. Jones as much time to drive 180 miles as it took Mr. Smith to drive 135 miles. Mr. Jones drove 15 mph faster than Mr. Smith. What was Mr. Jones’s speed?

Working together, Anne and Nichol can wallpaper an apartment in 12 hours. It would take Nichol 30 hours to do the job by herself. How long would it take Anne to do the job alone?

Rational Expressions Test (Study Guide #2)

Name_________________1

Simplify

3)

1)

2)

4)

5)

6)

8)

9)

7)

Solve:

12)

10)

11)

13)

14)

15)

16)

18)

17)

It took Mr. Jones as much time to drive 180 miles as it took Mr. Smith to drive 135 miles. Mr. Jones drove 15 mph faster than Mr. Smith. What was Mr. Jones’s speed?

Working together, Anne and Nichol can wallpaper an apartment in 12 hours. It would take Nichol 30 hours to do the job by herself. How long would it take Anne to do the job alone?

#3

#7

#8

#9

Solve

Solve

#13

Solve

Solve

#16

Working together, Anne and Nichol can wallpaper an apartment in 12 hours. It would take Nichol 30 hours to do the job by herself. How long would it take Anne to do the job alone?

x = hours it takes for Anne to do the job alone.

It took Mr. Jones as much time to drive 180 miles as it took Mr. Smith to drive 135 miles. Mr. Jones drove 15 mph faster than Mr. Smith. What was Mr. Jones’s speed?

x = speed of Jones car

x - 15

135

Smith

x

180

Jones

x = speed of Jones car

Solve:

Solve:

D

A

C

Ch. 10 Test

Find the common denominator that you would use to add the rational expressions below.

One car travels 12 mph faster than another. While one travels 217 miles, the other goes 175 miles. Find their speeds.

x = speed of slower car

175

x

Slow car

217

x + 12

Fast car

When working together, Bart and Lisa can clean their entire house in 2 hours. Working alone, Bart can clean the house in 5 hours. How long would it take Lisa to clean the house by herself? (express your answer in hours and minutes)

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