Question 1

When a boat travels __________, the speed of the boat is increased by the current.

Accepted Answer

The answer of When a boat travels __________, the speed...

Question 2

The first bird can fly about 15 mph faster than the second one. In the same time that the first bird travels 110 miles, the second bird travels 60 miles. Find their flying speeds.

Accepted Answer

The answer of The first bird can fly about 15...

Question 3

On average, it takes a teacher 45 minutes to grade a set of quizzes. It takes her teacher's aide twice as long to do the same grading. How long will it take if they work together to grade a set of quizzes?
 __________ min

Accepted Answer

The answer of On average, it takes a teacher 45...

Question 4

A boat can cruise at 35 mph in still water. What is its cruising speed upstream against a current of 5 mph?
 ______ mph

Accepted Answer

The answer of A boat can cruise at 35 mph...

Question 5

A plane can fly 260 miles in the same time as it takes a car to go 100 miles. If the car travels 80 mph slower than the plane, find the speed of the plane.

Accepted Answer

The answer of A plane can fly 260 miles in...

Question 6

A boat can cruise at 35 mph in still water. What is its cruising speed downstream with a current of 5 mph?
 ______ mph

Accepted Answer

The answer of A boat can cruise at 35 mph...

Question 7

On average, it takes a teacher 42 minutes to grade a set of quizzes. It takes her teacher's aide twice as long to do the same grading. How long will it take if they work together to grade a set of quizzes?

Accepted Answer

The answer of On average, it takes a teacher 42...

Question 8

Shane can drive a motorboat 30 miles down a river in the same amount of time that he can drive 20 miles upstream. Find the speed of the current if the speed of the boat is 15 mph in still water. ______ mph

Accepted Answer

The answer of Shane can drive a motorboat 30 miles...

Question 9

It takes a printer 4 hours to print the class schedules for all of the students enrolled in a community college. A faster printer can print the schedules in 3 hours. How long will it take the two printers working together to print $\frac { 7 } { 8 }$ of the class schedules?
 __________ hr

Accepted Answer

The answer of It takes a printer 4 hours to...

Question 10

Complete the table using the formula $r \cdot t = d$ . 
$\begin{array}{|l|l|l|l|}
\hline &  \text { rate  } &   \text { 	time  } &  \text { 	distance  }  \
\hline  \text { Running } &x& &15\
\hline \text {   Bicycling  } &x+20&&15\
\hline 
\end{array}$

Accepted Answer

The answer of Complete the table using the formula \(r...

Question 11

The first bird can fly about 10 mph faster than the second one. In the same time that the first bird travels 120 miles, the second bird travels 70 miles. Find their flying speeds. The first bird: __________ mph The second bird: __________ mph

Accepted Answer

The answer of The first bird can fly about 10...

Question 12

Painter A can paint a house in 12 hours, Painter B can paint the same house in 8 hours, and Painter C can paint the house in 10 hours. How many hours will it take to paint the house if Painter A has to leave after working $1 \frac { 1 } { 2 }$ hours and Painter C arrives 4 hours after Painter A and Painter B start the job.

Accepted Answer

The answer of Painter A can paint a house in...

Question 13

A man roller-blades at a rate 6 miles per hour faster than he jogs. In the same time it takes him to roller-blade 6 miles he can jog 2 miles. How fast does he jog?

Accepted Answer

The answer of A man roller-blades at a rate 6...

Question 14

A __________ is the quotient of two numbers or two quantities with the same units.
A) variation
B) fraction
C) factor
D) proportion
E) ratio

Accepted Answer

The answer of A __________ is the quotient of two...

Question 15

A father can paint a bedroom in 3 hours. His son can paint the bedroom in 4 hours. If they work together, how long will it take them to paint the bedroom?

Accepted Answer

The answer of A father can paint a bedroom in...

Question 16

A homeowner estimates that it will take her 9 days to roof her house. A professional roofer estimates that he could roof the house in 5 days. How long will it take if the homeowner helps the roofer?
 __________ days

Accepted Answer

The answer of A homeowner estimates that it will take...

Question 17

If it takes a teacher 3 hours to fill out report cards, what part of the job does she accomplish in x hours?

Accepted Answer

The answer of If it takes a teacher 3 hours...

Question 18

If one outlet pipe can drain a pipe in 24 hours and another pipe can drain the tank in 36 hours, how long will it take for both pipes to drain the tank?

Accepted Answer

The answer of If one outlet pipe can drain a...

Question 19

One highway worker can pick up all the trash on a strip of highway in 8 hours, and his helper can pick up the trash in 9 hours. How long will it take them if they work together?
 __________ hr

Accepted Answer

The answer of One highway worker can pick up all...

Question 20

An equation that states that two ratios are equal, such as $\frac { 1 } { 2 } = \frac { 4 } { 8 }$ , is called a __________.
A) quotient
B) proportion
C) fraction
D) variation
E) factor

Accepted Answer

The answer of An equation that states that two ratios...

Quiz 6: Rational Expression and Equations

When a boat travels __________, the speed of the boat is increased by the current.

The first bird can fly about 15 mph faster than the second one. In the same time that the first bird travels 110 miles, the second bird travels 60 miles. Find their flying speeds.

On average, it takes a teacher 45 minutes to grade a set of quizzes. It takes her teacher's aide twice as long to do the same grading. How long will it take if they work together to grade a set of quizzes? __________ min

A boat can cruise at 35 mph in still water. What is its cruising speed upstream against a current of 5 mph? ______ mph

A plane can fly 260 miles in the same time as it takes a car to go 100 miles. If the car travels 80 mph slower than the plane, find the speed of the plane.

A boat can cruise at 35 mph in still water. What is its cruising speed downstream with a current of 5 mph? ______ mph

On average, it takes a teacher 42 minutes to grade a set of quizzes. It takes her teacher's aide twice as long to do the same grading. How long will it take if they work together to grade a set of quizzes?

Shane can drive a motorboat 30 miles down a river in the same amount of time that he can drive 20 miles upstream. Find the speed of the current if the speed of the boat is 15 mph in still water. ______ mph

It takes a printer 4 hours to print the class schedules for all of the students enrolled in a community college. A faster printer can print the schedules in 3 hours. How long will it take the two printers working together to print $\frac { 7 } { 8 }$ of the class schedules? __________ hr

Complete the table using the formula $r \cdot t = d$ . $\begin{array}{|l|l|l|l|}\hline & \text { rate } & \text { time } & \text { distance } \\\hline \text { Running } &x& &15\\\hline \text { Bicycling } &x+20&&15\\\hline \end{array}$

The first bird can fly about 10 mph faster than the second one. In the same time that the first bird travels 120 miles, the second bird travels 70 miles. Find their flying speeds. The first bird: mph The second bird: mph

A man roller-blades at a rate 6 miles per hour faster than he jogs. In the same time it takes him to roller-blade 6 miles he can jog 2 miles. How fast does he jog?

A __________ is the quotient of two numbers or two quantities with the same units.

A father can paint a bedroom in 3 hours. His son can paint the bedroom in 4 hours. If they work together, how long will it take them to paint the bedroom?

A homeowner estimates that it will take her 9 days to roof her house. A professional roofer estimates that he could roof the house in 5 days. How long will it take if the homeowner helps the roofer? __________ days

If it takes a teacher 3 hours to fill out report cards, what part of the job does she accomplish in x hours?

If one outlet pipe can drain a pipe in 24 hours and another pipe can drain the tank in 36 hours, how long will it take for both pipes to drain the tank?

One highway worker can pick up all the trash on a strip of highway in 8 hours, and his helper can pick up the trash in 9 hours. How long will it take them if they work together? __________ hr

An equation that states that two ratios are equal, such as $\frac { 1 } { 2 } = \frac { 4 } { 8 }$ , is called a __________.

Quiz 6: Rational Expression and Equations

When a boat travels __________, the speed of the boat is increased by the current.

The first bird can fly about 15 mph faster than the second one. In the same time that the first bird travels 110 miles, the second bird travels 60 miles. Find their flying speeds.

On average, it takes a teacher 45 minutes to grade a set of quizzes. It takes her teacher's aide twice as long to do the same grading. How long will it take if they work together to grade a set of quizzes? __________ min

A boat can cruise at 35 mph in still water. What is its cruising speed upstream against a current of 5 mph? ______ mph

A plane can fly 260 miles in the same time as it takes a car to go 100 miles. If the car travels 80 mph slower than the plane, find the speed of the plane.

A boat can cruise at 35 mph in still water. What is its cruising speed downstream with a current of 5 mph? ______ mph

On average, it takes a teacher 42 minutes to grade a set of quizzes. It takes her teacher's aide twice as long to do the same grading. How long will it take if they work together to grade a set of quizzes?

Shane can drive a motorboat 30 miles down a river in the same amount of time that he can drive 20 miles upstream. Find the speed of the current if the speed of the boat is 15 mph in still water. ______ mph

It takes a printer 4 hours to print the class schedules for all of the students enrolled in a community college. A faster printer can print the schedules in 3 hours. How long will it take the two printers working together to print 78\frac { 7 } { 8 }87​ of the class schedules? __________ hr

The first bird can fly about 10 mph faster than the second one. In the same time that the first bird travels 120 miles, the second bird travels 70 miles. Find their flying speeds. The first bird: __________ mph The second bird: __________ mph

A man roller-blades at a rate 6 miles per hour faster than he jogs. In the same time it takes him to roller-blade 6 miles he can jog 2 miles. How fast does he jog?

A __________ is the quotient of two numbers or two quantities with the same units.

A father can paint a bedroom in 3 hours. His son can paint the bedroom in 4 hours. If they work together, how long will it take them to paint the bedroom?

A homeowner estimates that it will take her 9 days to roof her house. A professional roofer estimates that he could roof the house in 5 days. How long will it take if the homeowner helps the roofer? __________ days

If it takes a teacher 3 hours to fill out report cards, what part of the job does she accomplish in x hours?

If one outlet pipe can drain a pipe in 24 hours and another pipe can drain the tank in 36 hours, how long will it take for both pipes to drain the tank?

One highway worker can pick up all the trash on a strip of highway in 8 hours, and his helper can pick up the trash in 9 hours. How long will it take them if they work together? __________ hr

An equation that states that two ratios are equal, such as 12=48\frac { 1 } { 2 } = \frac { 4 } { 8 }21​=84​ , is called a __________.

It takes a printer 4 hours to print the class schedules for all of the students enrolled in a community college. A faster printer can print the schedules in 3 hours. How long will it take the two printers working together to print $\frac { 7 } { 8 }$ of the class schedules? __________ hr

The first bird can fly about 10 mph faster than the second one. In the same time that the first bird travels 120 miles, the second bird travels 70 miles. Find their flying speeds. The first bird: mph The second bird: mph

An equation that states that two ratios are equal, such as $\frac { 1 } { 2 } = \frac { 4 } { 8 }$ , is called a __________.