Ch3L3 Linear Equation Word Problem--Speed

Question 1

How far ( do you go) ?

How long( does it take) ?

How fast (do you drive/run…) ?

Answer 1

Distance(Km) = Speed(km/h) x Time(hour)

Speed(km/h) = Distance(Km) / Time(hour)

Time(hour) = Distance(km)/ Speed(km/hour)

Question 2

If you move 50 meters in 10 seconds, what is your speed?

Answer 2

Speed = ____ / ______

so speed here is:_______(unit?)

Question 3

Mike rides his motorcycle at an average speed (velocity) of 20 meters/second for 500 seconds, how far did he ride?

Answer 3

Distance = Speed x Time

so distance here is: 20m/s times 500 s = 10000 m

Question 4

Sarah runs at an average speed of 8 meters per second, how long will it take her to complete the race of 200 meters length?

Answer 4

Time = Distance / Speed

so here time needed is 200m divided by 8 m/s = 25 second

Question 5

What does SPEED mean?

Emily drives her car with a constant speed of 56 km/h. How far can she travel in 1 hour?

Answer 5

Speed means

how far(km/m…) we move in a unit time(hour/s..).

so she can travel ___km in one hour.

Question 6

Unit of Distance

Answer 6

Kilometer

Meter

Centimeter

Millimeter

mile

Question 7

Unit of Speed

Answer 7

Km/h

m/s

Mi/h

Question 8

Unit of Time

Answer 8

Year

Month

Day

Hour

Minute

Second

Question 9

Distance Unit Conversion

Answer 9

1 Km = 1000 m

1 m = 100 cm

1m = 10 dm

1 dm = 10 cm

Question 10

Time Unit Conversion

Answer 10

1 Year = 12 Months

1 Week = 7 Days

1 Day = 24 Hours

1 Hour = 60 Minutes

1 Minute = 60 Second

1 Hour = 3600 Second

Question 11

Speed Conversion

Answer 11

1Km/h = 1000m/3600s~=0.277m/s

Question 12

Write the Equation:

A bus travels 210 miles in 3 hours. Assume the distance it traveled is directly proportional to the time traveled.

Answer 12

1: From “distance traveled is directly proportional to time”, we can see Distance and Time is in Direct Variation. so

Distance = m x Time.

We know m is the Speed in this case. So

Speed = 210mile divided by 3 hour = 70m/h

Distance = 70m/h x Time

Question 13

Bill and Amy want to ride their bikes from their neighborhood to school which is 14.4 kilometers away. It takes Amy 40 minutes to arrive at school. Bill arrives 20 minutes after Amy. How much faster (in meters/second) is Amy’s average speed for the entire trip?

How to solve?

Question 14

A bus travel 210 miles in 3 hours. Assume the distance it traveled is directly proportional to the time it spends. How many miles can this bus travel in 6 hours?

Question 15

A new SUV car can travel 288 miles on nine gallons of gas. Assume the distance it traveled varies directly with the number of gallons of gas. How many miles can this SUV travel on 27 gallons of gas?

Question 16

A car travels along a road at a steady speed of 60 mph. How far will it travel in 6 hours?

Question 17

A train covers a distance of 480 mi in 8 hours. If it travels at a constant speed, how fast is it traveling?

Question 18

John walks at a steady speed of 3 mph. How long will it take him to travel 24 miles?

Question 19

A car travels at a constant speed of 65 mph. How far will it have traveled in 4 hours?

Question 20

Melanie completes a long distance run at an average speed of 6 mph. If it takes her 3 hours, how far did she run?

Question 21

Sarah cycles 30 mi to her grandmother’s house at a steady speed of 10 mph. If she leaves home at 2:00 P.M., what time will she arrive?

Question 22

If a man walks for 6 miles at a steady speed of 3 mph, how long will it take him?

Question 23

A truck driver travels 120 mi in 3 hours. If he drove at a steady speed how fast was he going?

Question 24

A car travels at a steady speed of 40 mph. How far will it travel in 4 hours?

Question 25

Shane walks 10 mi at 4 mph. Damien walks 12 mi at 5 mph. Which of them will take the longest?

Question 26

Courtney drives for 30 minutes at 50 mph and for 1 hour at 40 mph. How far has he traveled altogether?

Question 27

A racing car travels 340 mi in 120 minutes. What speed is it traveling at?

Question 28

David ran 40 m in 8 seconds. At that speed, how far did he run in 1 second?

Question 29

A baseball is thrown a distance of 20 meters. What is its speed if it takes 0.5 seconds to cover the distance?

Question 30

How much time does it take for a bird flying at a speed of 45 kilometers per hour to travel a distance of 1,800 kilometers?

Question 31

A comet is cruising through the solar system at a speed of 50,000 kilometers per hour for 4 hours time. What is the total distance traveled by the comet during this time?

Question 32

If it takes Ashley 3 seconds to run from the batters box to first base at an average speed (velocity) of 6.5 meters per second, what is the distance she covers in that time?

Question 33

Bart ran 5000 meters from the cops and an average speed (velocity) of 6 meters/ second before he got caught. How long did he run?

Question 34

If Justin races his Chevy S-10 down Highway 37 for 2560 meters in 60 seconds, what is his average speed (velocity)?

Question 35

Mike rides his motorcycle at an average speed (velocity) of 20 meters/second for 500 seconds, how far did he ride?

Question 36

An airplane flies with a constant speed of 620 miles per hour. How long will it take to travel a distance of 930 miles?

Question 37

Pete rides his horse with a constant speed of 6 miles per hour. How far can he travel in 3 hours?

Question 38

An airplane flies with a constant speed of 1000 km/h. How far can it travel in 1/2 hour?

Question 39

Emily rides her bike with a constant speed of 12 miles per hour. How far can she travel in 2 1/2 hours?

Question 40

An airplane flies 1620 miles in 3 hours. What is its average speed in miles per hour?

Question 41

An airplane flies 1080 miles in 1.5 hours. What is its average speed in miles per hour?