Time Distance Speed

1
Time Distance Speed
Revision of Level D/E Time
Calculating Distance
Calculating Speed
Calculating Time
Time, Distance and Speed Problems
www.mathsrevision.com
Converting Hour Minutes to Decimal Time
Converting Decimal Time to Hour Minutes
Time Distance Graphs
2
Starter Questions
www.mathsrevision.com
3
Time
Revision of Level D/E
Learning Intention
Success Criteria

1. To revise Level D/E work on Time.

1. Convert 12hr to 24hr clock.
2. Convert 24hr to 12hr clock.
www.mathsrevision.com
3. Count Method to find time intervals.
4
To go from 12 hour clock to 24 hour clock just
add 12 to the pm hours
2100
2000
1830
2330
1620
1510
5
To go from 24 hour clock to 12 hour clock just
subtract 12 from the hours if it is greater than
12
9 pm
8 pm
530 pm
1008 pm
806 pm
150 pm
6
Counting Method
When working out time difference we will use the
Counting Method. This method will always work.
60 mins 1hr 3 hrs 6 mins
Example Find the time difference between 08
46 hrs and 11 52 hrs
Hrs Mins
nearest hour
www.mathsrevision.com
08 46 ? 09 00
14
hours
09 00 ? 11 00
2
Whats left?

11 00 ? 11 52
52
2 66
7
Counting Method
Example Find the time difference between 02
37 hrs and 23 49 hrs
Hrs Mins
nearest hour
02 37 ? 03 00
23
hours
03 00 ? 23 00
20
Whats left?

23 00 ? 23 49
49
www.mathsrevision.com
20 72
21hrs 12mins
8
Time
Revision of Level D/E
Now try Ex 1 2 Ch10 (page 107)
www.mathsrevision.com
9
Starter Questions
6x
4x
4x
www.mathsrevision.com
10
Distance
Working Out Distance
Learning Intention
Success Criteria

1. Know the distance formula.

1. To explain how to work out simple distance
calculations using the distance formula.
2. Use the formula to work out simple distance
calculations.
www.mathsrevision.com
11
Distance
Working out Distances
Imagine you were travelling in a train at a
steady speed of 80km/hr.
In 1 hour you travel
80 x 1 80 km
In 2 hours you travel
80 x 2 160 km
In 3 hours you travel
80 x 3 240 km
www.mathsrevision.com
Can you guess what the formula is
in symbols
12
Time Distance Speed
Mixed Problems
Example Liam drove from his house to the Fort
William, a distance of 315 miles. It took him
3hrs. What was his average speed?
Working
www.mathsrevision.com
13
Distance
Working Out Distance
Now try Ex 3 Ch10 (page 111)
www.mathsrevision.com
14
Starter Questions
www.mathsrevision.com
15
Speed
Working Out Speed
Learning Intention
Success Criteria

1. Know the speed formula.

1. To explain how to work out simple speed
calculations using the speed formula.
2. Use the formula to work out simple speed
calculations.
www.mathsrevision.com
16
Speed
Working Out Speed
Imagine you sailed 45 kilometres between two
islands and it took 3 hours.
In 3 hours you travel
45 km
In 1 hour you travel
45 3 15 km
This means your speed is
15km/hr
www.mathsrevision.com
Can you guess what the formula is
in symbols
17
Time Distance Speed
Mixed Problems
Example Liam drove from his house to the
Perth, a distance of 135 miles. It took him 3hrs.
What was his average speed?
Working
www.mathsrevision.com
18
Speed
Working Out Speed
Now try Ex 4 Ch10 (page 112)
www.mathsrevision.com
19
Starter Questions
www.mathsrevision.com
4 cm
x cm
20
Time
Working Out Time
Learning Intention
Success Criteria

1. Know the time formula.

1. To explain how to work out simple time
calculations using the time formula.
2. Use the formula to work out simple time
calculations.
www.mathsrevision.com
21
Time
Working Out Time
Imagine you flew 800 miles to Paris and the
average speed of the plane was 200 miles/hr.
To travel 200 miles takes 1 hour
To travel 800 miles takes
800 200 4 hours
www.mathsrevision.com
Can you guess what the formula is
in symbols
22
Time Distance Speed
Mixed Problems
Example How long did the bus journey take if it
travelled a total distance of 100 km at and an
average speed of 40 km/hr.
Working
www.mathsrevision.com
23
Time
Working Out Time
Now try Ex 5 Ch10 (page 114)
www.mathsrevision.com
24
Starter Questions
www.mathsrevision.com
25
Time Distance Speed
Mixed Problems
Learning Intention
Success Criteria
1. Know and remember triangle method for
distance, speed time problems.
1. To show the traingle method of remembering
the distance, speed and time formulae.
2. Apply triangle method to mixed problems.
www.mathsrevision.com
26
Time Distance Speed
Mixed Problems
D
S
T
www.mathsrevision.com
Simple way to remember the 3 formulae !
27
Time Distance Speed
Mixed Problems
Example 1 Daniel drove from his house to the
Blackpool, a distance of 135 miles. It took him
2hrs 15mins. What was his average speed?
Time MUST be in hours format
Working
www.mathsrevision.com
28
Time Distance Speed
Mixed Problems
Example 2 A racing car travelled at 50 km/hr.
What is the distance covered in 6 hours ?
Working
www.mathsrevision.com
29
Time Distance Speed
Mixed Problems
Example 1 How long did the bus journey take if
it travelled a total distance of 60 km at an
average speed of 40 km/hr.
Working
www.mathsrevision.com
30
Time Distance Speed
Mixed Problems
Now try Ex6 Ch10 (page 116)
www.mathsrevision.com
31
Starter Questions
www.mathsrevision.com
32
Hrs Mins to Decimal Time
Converting Hrs Mins to Decimal Time
Learning Intention
Success Criteria
1. Know that decimal time MUST be used in
formulae.
1. To show how to convert hours and minutes to
decimal time.
2. Convert from hours and mins to decimal time.
www.mathsrevision.com
33
Hrs Mins to Decimal Time
Converting Hrs Mins to Decimal Time
You should already know
Example 1
48 minutes to decimal is
0.8 hr
www.mathsrevision.com
2.25 hr
Example 2
2hr 15 minutes to decimal is
To change minutes to a decimal divide by 60
34
Time Distance Speed
Now try Extension booklet 6E (page 41)
www.mathsrevision.com
35
Starter Questions
www.mathsrevision.com
36
Hrs Mins to Decimal Time
Converting Decimal Time to Hrs Mins
Learning Intention
Success Criteria
1. Know the rule for converting back from
decimal time to hours and mins.
1. To show how to convert back from decimal
time to hours and minutes.
www.mathsrevision.com
37
Hrs Mins to Decimal Time
Converting Decimal Time to Hrs Mins
You should already know
To change minutes to a decimal time divide by 60
www.mathsrevision.com
To convert back to and minutes we do the opposite

To change decimal time to minutes multiply by 60
38
Hrs Mins to Decimal Time
Converting Decimal Time to Hrs Mins
To change decimal time to minutes multiply by 60
Example 1
0.7 hrs to minutes is
42 mins
www.mathsrevision.com
3.4 hrs to hours and minutes is
Example 2
3 hrs 24 mins
39
Time Distance Speed
Converting Hrs Mins to Decimal Times
Now try Extension Booklet 7E (page 44)
www.mathsrevision.com
40
Starter Questions
www.mathsrevision.com
41
Time Distance Graph
Interpreting Time Distance Graphs
Learning Intention
Success Criteria
1. Understand the term interpret.

• To interpret
• Time Distance Graphs.

• Understand that the speed can be calculated from
  the
• Time - Distance Graph.

www.mathsrevision.com
42
Time Distance Graph
Interpreting Time Distance Graphs
www.mathsrevision.com