Averages
SPEED, DISTANCE AND TIME
Speed (2)
Have a look at this example:
What is my speed if I drive 25 miles in 30 minutes?
(Remember speed is miles per hour)
30 minutes 
25 miles
30 minutes 
25 miles
So in 1 hour I travel
50 miles
My speed is 50 miles per hour
Try this one …

A train travels from Liverpool to Manchester in 45 minutes.
The distance is 36 miles. What is the speed of the train?
36 miles in
45 minutes
____ miles in
15 minutes
(divide by 3)
____ miles in
60 minutes
(multiply by 4)
so ____ miles per hour
What about this one?

I can run a mile in 10 minutes
What is my speed?
1 mile in
10 minutes
___ miles in
60 minutes
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so ____ miles per hour
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Averages
Now follow this example:
Sandra walks 6 miles in 1½ hours
What is her speed?
We want to know how far she walks in 1 hour (this will be her
speed in m.p.h.).
So
6 miles in
(3)
2 miles in
1½ hours
(3)
½ hour
Now we know how far she walks in ½ hour we can double it to find her
speed:
So
(x2)
2 miles in
½ hour
4 miles in
1 hour
(x2)
Her speed is 4 m.p.h.
Complete these:

Joe drives 150 miles in 2½ hours
What is his speed?
(5)
So
2½ hour
___ miles in
½ hour
______ miles in 1 hour
=

150 miles in
______ m.p.h.
A jet travels 400 km in 1¼ hours
What is its speed?
400 miles in
1¼ hours
____ miles in
¼ hour
____ miles in
1 hour
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= ____ m.p.h.
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(5)
Averages
A)
1)
Terry walks to work. He goes 2 miles in 30 minutes.
What is his speed in m.p.h.?
2)
The distance from Leeds to Bradford is 10 miles. In rush
hour it takes 30 minutes for Pete to make the journey
What speed is Peter travelling at?
3)
A train takes 2½ hours to travel between London and
Swansea (190 miles)
What is the train's speed?
4)
5)
Find the speed of a car that travels:
a)
15 miles in 20 minutes
b)
69 miles in 1½ hours
c)
14 miles in ¼ hour
d)
39 miles in ¾ hour
Look at the map of distances from Manchester, then answer
the following questions:
Carlisle
117 miles
Middlesborough
108 miles
Liverpool
36 miles
45 miles
Leeds
Manchester
90 miles
200 miles
Birmingham
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London
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3
Averages
A delivery van makes these journeys during the week. Find out
what its speed is.
From
To
Time taken
Mon
Manchester
Leeds
50 mins
Tues
Manchester
Carlisle
2 hours
Wed
Manchester
Birmingham
1 hr 30 mins
Thurs
Manchester
Middlesborough
2 hrs 15 mins
Fri
Manchester
London
3 hrs 20 mins
Sat
Manchester
Liverpool
45 mins
Speed
    
You may need to work out the Average speed travelled.
To do this first add up the total distance travelled and the total time
spent travelling.
Then work out as usual:
AVERAGE SPEED = TOTAL DISTANCE  TOTAL TIME
For example
I walk 9 miles in 2 hours, then I catch a bus for 75 miles which takes
2 hours. What is my average speed?
9 miles + 75 miles =
2 hrs + 2 hrs =
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84  4 =
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84 miles
4 hrs
21 m.p.h.
4
Averages
B)
Try these:
1)
A train travels 60 miles in 1 hour, stops for 45 minutes, and
then goes 75 miles for 1¼ hours
What is the average speed?
2)
Look at the bus timetable
What is the average speed of the bus?
10 MILES
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Bedale
10.20
11 MILES
Fellhead
10.42
15 MILES
Arrive
Minton
11.05
Depart
Minton
11.35
24 MILES
Inthwaite
12.10
Skipwith
13.00
3)
Jean cycles 25 km in 4 hours. She gets a puncture and
walks to the bus stop. The bus takes an hour to cover 45
km.
What is her average speed?
4)
Denis races his car on a long distance race
Find out his speed for each stage then work out his average
speed (round off).
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1st stage
216 miles
in
2nd stage
180 miles
in
2 hrs 30 mins
3rd stage
88 miles
in
1 hour 6 mins
4th stage
40 mile
in
30 mins
5th stage
77 miles
in
1 hour 24 mins
5
3 hrs
Averages
C)
Average Speed on the Motorway
1)
A motorist drives from Liverpool to Sheffield direct on the
motorway and takes approximately one and a half hours.
Use the mileage chart below to find the distance she
travels, and try working out her average speed.
2)
on the return journey she intends to drive via Nottingham
back to Liverpool. She reckons she will average about 30
m.p.h., as only part of her journey is on the motorway.
Use the chart to find out how many miles she will travel.
How long should the driving take?
3)
The journey goes as planned. What was the total distance
travelled over the whole journey from Liverpool to
Sheffield and back?
How long did the whole journey take altogether?
What was the motorist's average speed over the whole
journey?
MILEAGE CHART
Liverpool
36
Manchester
155
132
Newcastle
220
185
264
Norwich
98
63
157
122
Nottingham
157
144
250
145
98
Oxford
283
283
410
343
276
185
Plymouth
234
221
337
186
175
72
164
Portsmouth
72
38
125
146
37
135
283
212
Sheffield
f lex i p
Check your answers, then discuss with your tutor what you need to
work on next.
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Averages
Answers
Speed, Distance And Time
Speed (2)

48 m.p.h.

6 m.p.h.

60 m.p.h.

320 k.p.h.
A)
1)
4 m.p.h.
2)
20 m.p.h.
3)
76 m.p.h.
4)
a)
45 m.p.h.
b)
B)
Mon
54 m.p.h.
46 m.p.h.
Tues
58.5 m.p.h.
c)
56 m.p.h.
Wed
60 m.p.h.
d)
52 m.p.h.
Thurs 48 m.p.h.
1)
45 m.p.h.
2)
22.5 m.p.h.
3)
14 m.p.h.
4)
1st
72 m.p.h.
2nd
72 m.p.h.
3rd
80 m.p.h.
4th
80 m.p.h.
5th
55 m.p.h.
5)
Average speed 70.7 m.p.h.
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C)
1)
72 miles
48 m.p.h.
2)
135 miles
4 hrs 30 mins
3)
207 miles
34.5 m.p.h.
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Fri
60 m.p.h.
Sat
48 m.p.h.