Cambridge International Mathematics

Topics in arithmetic (Chapter 10) 227

EXERCISE 10H

1 The graph alongside shows the distance Frances walks to

work. Use the graph to determine:

a the distance to work

b the time taken to get to work

c the distance walked after

i 12 minutes ii 20 minutes

d the time taken to walk

i 0 : 4 km ii 1 : 3 km

e the average speed for the whole distance.

2 Two cyclists took part in a handicap time trial. The distance-

time graph indicates how far each has travelled. Use the graph

to find:

a the handicap time given to cyclist B

b the distance travelled by each cyclist

c how far both cyclists had travelled when A caught B

d how long it took each cyclist to travel 80 km

e how much faster A completed the time trial than B

f the average speed of each cyclist.

3 The Reynolds and Smith families live next door to each other

in San Francisco. They are taking a vacation to their favourite

beach, 150 km from where they live.

a Who left first?

b Who arrived first?

c Who travelled fastest?

d How long after the first family left did

they pass each other on the road?

e How long had the second family been driving when they

passed the first family?

f Approximately how far from San Francisco is this “passing point”?

4

04812162024

1

2

28

distance (km)

time (minutes)

0

25

50

75

100

125

0.5 1 1.5 2 2.5

Smith

Reynolds

distance (km)

time (hrs)

150

0

1

2

2648

time (min)

distance (km)

A

B

40

80

012

distance (km)

time (hours)

Patricia drives from home to pick up her children from school.

She draws a graph which can be used to explain her journey.

The vertical axis shows her distance from home in kilometres.

The horizontal axis measures the time from when she left

home in minutes. Her first stop is at traffic lights.

a When did she stop for the red traffic light?

b How long did the light take to change?

c How long did she spend at the school?

d How far away is the school from her home?

e When was her rate of travel (speed) greatest?

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Y:\HAESE\IGCSE01\IG01_10\227IGCSE01_10.CDR Tuesday, 14 October 2008 10:15:54 AM PETER