6.05 Interpreting travel graphs
The graph below shows Ben's distance from his starting point at various times of the day using 24-hour time:
At what time did Ben start his journey?
How far had Ben traveled by 11 am?
What happened to Ben's speed at 11 am?
Calculate Ben's speed between 11 am and 1 pm.
What distance did Ben travel between 1 pm and 2 pm?
What is the farthest distance traveled from the starting point?
Calculate the total distance traveled by Ben from 9 am to 4 pm.
The following graph describes Frank's distance from home throughout his journey:
How far was Frank from home when he started driving at 5 am?
How far was he from home by 7 am?
How long did he rest for?
How far did he travel between 7 am and 9 am?
Was Frank traveling faster in the first two hours or the last two hours of his trip?
Ken starts traveling at 9 am from point A to point B. The distance between Ken and point B at various times in his journey is shown on the graph below:
How far is point B from point A?
How many hours was Ken's journey from point A to point B?
State the time period in which Ken traveled at the fastest speed.
Find Ken's fastest speed in kilometers per hour.
Find the distance in kilometers traveled by Ken between 1:30 pm and 4 pm.
Find the total distance travelled by Ken from 9 am to 4 pm.
A dishwasher manufacturer wants to create a graph showing how the wash cycle of a particular dishwasher models works. The dishwasher holds 20 gallons of water.
A one hour wash cycle has the following stages:
The cycle begins with no water in the dishwasher.
The dishwasher fills to halfway and washes for a period of time. After washing, the dishwasher empties the water.
Lastly, the dishwasher fills with water all the way, rinses for a period of time, then empties completely.
Sketch a graph of the water level inside the dishwasher during one wash cycle.
The graph shows a train’s distance from the central station throughout the day:
When did the train change direction and start traveling back towards the central station?
At what time did the train stop to change drivers?
How far had the train traveled between 12 pm and 1 pm?
How far had the train traveled between 10 am and 4 pm?
Between which times was the train was traveling fastest?
Brandon's company imports earphones from Germany. Each box contains one dozen earphones. The price per box gets cheaper as Brandon buys more boxes. The graph shows the cost per box for different volume of imports:
If Brandon expects to sell 84 earphones over the next 6 months, is it more cost effective to buy them all at once or in a number of batches?
Between which numbers of boxes has the greatest jump in price per box?
What is the cost per box if Brandon orders 5 boxes of headphones?
Yvonne bought a new skateboard and rode it home before going out for a skate. The following graph represents Yvonne's distance from home over a 9-minute interval:
How far was Yvonne from home when she bought the skateboard?
When she first started riding, did she travel towards home or away from home?
How many minutes did she stay home before going out on a ride?
How many minutes into her journey was she when she left home?
What was Yvonne's furthest distance from home?
From the time she left home, how long did it take for Yvonne to return home?
What is the total distance that Yvonne traveled over the 9-minute period?
Write a story to describe the following travel graphs:
A man is driving along a highway in a car at a constant speed. After a period of time, he decreases his speed because of road work.
Sketch a graph that represents the relationship between distance traveled and time taken.
Mr. and Mrs. Weber and their family travel 270 \text{ km} every year for their family trip. The following graph shows the travel distance and time:
If the family leaves at 3 am, what time would they arrive at their destination?
How far had they traveled after 5 hours?
During the drive, the family stops for breakfast. At what time do they stop?
At what times did their speed decrease?
The neighbours, the Axelrod family, have decided to join the Weber family on this trip but will drive there separately. For the Axelrod family's trip:
They leave at the same time as the Weber family, but drive slower at first.
They increase speed after 2 hours.
They only stop for breakfast for half an hour.
They arrive at the destination at the same time.
Sketch a graph showing both the Webers' trip and the Axelrods' trip.
A husband and wife exercise each day for 20 minutes before dinner. The wife walks briskly, while the man runs. The distance each of them travel is shown on the graph:
Find the difference in distance that each of them covers after 20 minutes.
Find the distance the wife covers each minute.
Find the distance the husband covers each minute.
How long would it take the wife to walk the same distance that her husband runs in 6 minutes?
The travel graph of John and Kate is shown below:
Calculate the difference in the amount of time traveled for John and Kate.
Calculate John's average speed in \text{km/h} for the trip. Round your answer to two decimal places.
Calculate Kate's average speed in \text{km/h} for the trip.
At what time had Kate and John traveled the same distance?
At the time when Kate and John had travelled the same distance, what was the actual distance traveled?
Two students were walking on a straight walking track and their travel graph is plotted:
How far did Student A walk?
How many more meters did Student A walk than Student B during the first 5 minutes?
What is the average speed of Student A in meters per minute?
What is the average speed of Student B in meters per minute?
Assuming Student A and Student B walk at these speeds to complete the 2 \text{ km} track on the field, how many minutes longer would Student B take than Student A?
Sourav and Irena transport medical equipment from their respective work sites throughout the day. The graph shows their distance from home:
If they are at their respective worksites at the beginning of the day, how far apart are their worksites?
At what time are both Sourav and Irena the same distance away from their respective work sites?
How far apart are they at 1 pm?
At what time is Sourav 25 \text{ km} from arriving at his office?
How long after Sourav returned to his worksite did Irena return to hers?