Question 1

Solve the equation.
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Accepted Answer

The answer of Solve the equation.
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Question 2

Solve the equation.
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Accepted Answer

The answer of Solve the equation.
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Question 3

Solve the equation.
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Accepted Answer

The answer of Solve the equation.
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Question 4

Solve the equation.
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Accepted Answer

The answer of Solve the equation.
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Question 5

Solve the problem.
-Fred bicycles 5 km/h slower than Samantha. In the time it takes Fred to bicycle 40 km, Samantha travels 60 km. How fast does Fred bicycle?

Accepted Answer

The answer of Solve the problem.
-Fred bicycles 5 km/h slower...

Question 6

Solve the problem.
-A loaded moving truck is traveling 15 mph faster than a freight train. In the time it takes the train to travel 80 miles, the truck travels 110 miles. Find the speed of the truck.

Accepted Answer

The speed of the truck is 55 mph, calculated by setting up the equation based on distance = speed × time for both the truck and the train, and solving for the truck's speed.

Question 7

Solve the problem.
-Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 285 miles in the same time that Dana travels 260 miles. If Chuck's rate of travel is 5 mph more than Dana's, and they travel the same length of time, at
What speed does Chuck travel?

Accepted Answer

Chuck's speed is 57 mph, derived from the equation based on distance = rate × time, with Chuck traveling 285 miles and Dana 260 miles at speeds 5 mph apart.

Question 8

Solve the equation.
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Accepted Answer

The answer of Solve the equation.
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Question 9

Solve the problem.
-Frank can type a report in 2 hours and James takes 7 hours. How long will it take the two of them typing together?

Accepted Answer

The answer of Solve the problem.
-Frank can type a report...

Question 10

Solve the equation.
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Accepted Answer

The answer of Solve the equation.
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Question 11

Find the ratio. Simplify, if possible.
-Mara can type 525 words in  hour (15 minutes). How many words per minute can she type?

Accepted Answer

The answer of Find the ratio. Simplify, if possible.
-Mara can...

Question 12

Solve the problem.
-A contractor finds that it takes Sam Tockett 11 hours to construct a wall of a certain size. It takes Jim Lowell 8 hours to construct the same wall. How long would it take if they worked together?

Accepted Answer

The answer of Solve the problem.
-A contractor finds that it...

Question 13

Solve the problem.
-Tom Quig traveled 210 miles east of St. Louis. For most of the trip he averaged 60 mph, but for one period of time he was slowed to 10 mph due to a major accident. If the total time of travel was 6 hours, how many miles
Did he drive at the reduced speed?

Accepted Answer

Let x be the time spent at 10 mph. Then, the time spent at 60 mph is (6 - x) hours. The equation is 10x + 60(6 - x) = 210. Solving gives x = 3, so he drove 10 * 3 = 30 miles at the reduced speed.

Question 14

Find the ratio. Simplify, if possible.
-David's paycheck for a week at the video store was $122.09. If he worked 29 hours that week, what was his pay rate?

Accepted Answer

David's pay rate is $122.09 / 29 hours = $4.21/hour.

Question 15

Solve the problem.
-The Epson Stylus 850 can print Helen's class project in 24 minutes. The Epson Stylus 500 can print the project in 30 minutes. If the two printers work together, how long would they take to print out the project?

Accepted Answer

The answer of Solve the problem.
-The Epson Stylus 850 can...

Question 16

Solve the problem.
-A man rode a bicycle for 12 miles and then hiked an additional 8 miles. The total time for the trip was 5 hours. If his rate when he was riding a bicycle was 10 miles per hour faster than his rate walking, what was each rate?

Accepted Answer

The man's biking rate is 12 mph and hiking rate is 2 mph. The biking rate is 10 mph faster than the hiking rate, and the total time matches the given 5 hours.

Question 17

Find the ratio. Simplify, if possible.
-If Alison's company charged $97.38 for 3 hours of work, how much did they charge per hour?

Accepted Answer

To find the charge per hour, divide the total charge by the number of hours: $97.38 ÷ 3 = $32.46/hour.

Question 18

Solve the equation.
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Accepted Answer

The answer of Solve the equation.
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Question 19

Solve the equation.
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Accepted Answer

The answer of Solve the equation.
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Question 20

Solve the problem.
-Martha can rake the leaves in her yard in 5 hours. Her younger brother can do the job in 7 hours. How long will it take them to do the job if they work together?

Accepted Answer

The answer of Solve the problem.
-Martha can rake the leaves...

Quiz 7: Rational Expressions and Equations

Solve the equation. -

Solve the equation. -

Solve the equation. -

Solve the equation. -

Solve the problem. -Fred bicycles 5 km/h slower than Samantha. In the time it takes Fred to bicycle 40 km, Samantha travels 60 km. How fast does Fred bicycle?

Solve the problem. -A loaded moving truck is traveling 15 mph faster than a freight train. In the time it takes the train to travel 80 miles, the truck travels 110 miles. Find the speed of the truck.

Solve the problem. -Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 285 miles in the same time that Dana travels 260 miles. If Chuck's rate of travel is 5 mph more than Dana's, and they travel the same length of time, at What speed does Chuck travel?

Solve the equation. -

Solve the problem. -Frank can type a report in 2 hours and James takes 7 hours. How long will it take the two of them typing together?

Solve the equation. -

Find the ratio. Simplify, if possible. -Mara can type 525 words in hour (15 minutes) . How many words per minute can she type?

Solve the problem. -A contractor finds that it takes Sam Tockett 11 hours to construct a wall of a certain size. It takes Jim Lowell 8 hours to construct the same wall. How long would it take if they worked together?

Solve the problem. -Tom Quig traveled 210 miles east of St. Louis. For most of the trip he averaged 60 mph, but for one period of time he was slowed to 10 mph due to a major accident. If the total time of travel was 6 hours, how many miles Did he drive at the reduced speed?

Find the ratio. Simplify, if possible. -David's paycheck for a week at the video store was $122.09. If he worked 29 hours that week, what was his pay rate?

Solve the problem. -The Epson Stylus 850 can print Helen's class project in 24 minutes. The Epson Stylus 500 can print the project in 30 minutes. If the two printers work together, how long would they take to print out the project?

Solve the problem. -A man rode a bicycle for 12 miles and then hiked an additional 8 miles. The total time for the trip was 5 hours. If his rate when he was riding a bicycle was 10 miles per hour faster than his rate walking, what was each rate?

Find the ratio. Simplify, if possible. -If Alison's company charged $97.38 for 3 hours of work, how much did they charge per hour?

Solve the equation. -

Solve the equation. -

Solve the problem. -Martha can rake the leaves in her yard in 5 hours. Her younger brother can do the job in 7 hours. How long will it take them to do the job if they work together?