Edexcel IGCSE Math A 3.3.A distance-time graphs

Practise distance-time graph questions by plotting each journey stage, marking stops and comparing speeds using gradient steepness.

Exam points

Plot journey information on a distance-time graph with stops and changing speeds.
Compare speeds before and after a stop by using the steepness of graph sections.

[Maximum number: 3]

Jalina left her home at 1000 to cycle to a park.
On her way to the park, she stopped at a friend's house and then continued her journey to the park.
Here is the distance-time graph for her journey to the park.

Figure for Question 3.3.A Interpreting linear and non-linear graphs question 1 — Edexcel IGCSE Math A Higher

(a)

On her journey to the park, did Jalina cycle at a faster speed before or after she stopped at her friend's house?
Give a reason for your answer.

Jalina stayed at the park for 45 minutes.
She then cycled, without stopping, at a constant speed of $16 \mathrm{~km} / \mathrm{h}$ from the park back to her home.

[ 1 ]

$15 \mathrm{~km} / \mathrm{h}$ or $\frac{25}{6} \mathrm{~m} / \mathrm{sec}$ or $0.25 \mathrm{~km} / \mathrm{min}$ or $\frac{15}{4}$
oe
$12 \mathrm{~km} / \mathrm{h}$ or $\frac{10}{3} \mathrm{~m} / \mathrm{sec}$ or $0.2 \mathrm{~km} / \mathrm{min}$ or $\frac{9}{3}$ oe

'before' with
reason

1

B1

e.g. before as gradient is steeper
or before as speed before is 15
km / h speed after is $12 \mathrm{~km} / \mathrm{h}$ or
before as she goes over 11(allow
11-12 ) km in $\frac{3}{4}$ hour but only
goes 9 km in $\frac{3}{4}$ hour after oe
NB: any figures used for the
reason must be accurate if they
haven't used 'gradient is steeper'
oe

(b)

Show all this information on the distance-time graph.

[ 2 ]

Line from:
$(12{:}00,24)\to(12{:}45,24)\to(14{:}15,0)$

Marking guidance:
- B2 for the complete line
- If not B2, award B1 for either line segment, or for a time of 1.5 hours seen

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3.3.A Interpreting linear and non-linear graphs question 1

Question (a)

Question (b)