GCSE
Mathematics
Targeting Grade C
Unit 3
Algebra 3
Travel Graphs
Can you:
If not you need
•Remember the key points about
travel graphs
•Answer examination questions
Involving:
Review 1: Key facts
Practice 1: GCSE questions
Question 1
Calculating how long was a rest
Question 2
Calculating how far did they travel
Question 3
Working out the average speed
Question 4
Completing a travel graph
Question 5
Question 6
Travel graphs – Always the same and always easy!
The Four Key Points:
• A travel graphs is always
DISTANCE
against
TIME
• FLAT sections are where it’s STOPPED
• The STEEPER the graph
the FASTER it’s going
• For any section,
SLOPE (gradient) = SPEED
Remember SPEED = Distance ÷ Time
lesson
1.
Jane drove 320 km from her home to the airport. The travel graph shows
Jane’s journey.
Click for
answers
320
Distance from home in km
280
240
200
160
120
80
40
1
2
3
4
5
Time in hours
During the journey, Jane stopped for lunch.
(a)
(b)
(i)
For how long did Jane stop for lunch? 30 minutes
(ii)
How far had Jane travelled in the first 90 minutes?
120 Km
Work out the steady speed that Jane travelled at after lunch. 60 Km/Hr
Continue
Jane’s car uses 1 gallon of petrol for each 40 miles.
A gallon of petrol costs £3.20
Click for
answers
320
Distance from home in km
280
240
200
160
120
80
40
1
2
3
4
5
Time in hours
(c)
Work out the cost of petrol for Jane’s 320 km journey.
More questions
£25.60
2.
Here is part of a travel graph of Siân’s journey from her house to the
shops and back.
20
Click for
answer
18
16
Distance
14
in km
from
12
Siân’s
house
10
8
6
4
2
5
10
15
20
25
30 35
40 45 50
55
60
65 70
75 80
Time in minutes
(a)
Work out Siân’s speed for the first 30 minutes of her journey.
Give your answer in km/h.
40 Km/Hr
More questions
Click for
answers
20
18
16
Distance
14
in km
from
12
Siân’s
house
10
8
6
4
2
5
10
15
20
25
30 35
40 45 50
55
60
65 70
75 80
Time in minutes
Siân spends 15 minutes at the shops.
She then travels back to her house at 60 km/h.
(b) Copy and complete the travel graph.
More questions
3.
A man left home at 12 noon to go for a cycle ride.
The travel graph represents part of the man’s journey.
Click for
answers
At 12.45pm the man stopped for a rest.
15 minutes
(a)
For how many minutes did he rest?
(b)
Find his distance from home at 1.30pm. 15 Km
More questions
Click for
answers
The man stopped for another rest at 2pm.
He rested for one hour.
Then he cycled home at a steady speed. It took him 2 hours.
(c) Copy and complete the travel graph.
More questions
4.
James left home at 10 00 am.
He walked to the swimming pool.
On the way to the swimming pool he stopped to talk to a friend.
Here is the distance-time graph for his complete journey.
Distance in km 5
from
James’ home
4
3
2
More
questions
1
0
10 00
11 00
12 00
Time
Distance in km 5
from
James’ home
Click for
answers
4
3
2
1
0
10 00
11 00
12 00
Time
(a) For how many minutes did James stop and talk to his friend? 45 minutes
(b) What is the distance from James’ home to the swimming pool? 5 Km
More questions
5.
The graph shows the rate of rainfall, in mm per hour, one afternoon last year.
1.5
Rate
of
rainfall
(mm per
1
hour)
0.5
Click for
answers
0
1200
1300
1400
1500
Time
1600
1700
(a)
At what time did it start to rain? 13.30
(b)
What was the rate of rainfall at 1700 in mm per hour?
(c)
More questions
1800
1.5 mm/hr
What happened to the rate of rainfall between 1600 and 1615?
It increased
6.
Robert left school at 3 30 pm.
He walked home. On the way home, he stopped to talk to a friend.
His sister, Sarah, left the same school at 3 45 pm.
She cycled home using the same route as Robert.
Here are the distance-time graphs for Robert’s and Sarah’s complete journeys.
Distance
3
from
school
(km)
2
1
0
330
More
questions
340
350
400
Time
(pm)
Distance
3
from
school
(km)
Click for
answers
2
1
0
330
340
350
400
Time
(pm)
(a) Find the distance Robert walked during the first 10 minutes of his journey. 1 Km
(b) Find the total time that Robert stopped to talk to his friend. 30 minutes
(c) Write down the distance that Robert had walked when Sarah cycled past him. 2 Km
Lesson