1. Created by Mr. Lafferty Maths Dept.
Time Distance Speed
Calculating Distance
Calculating Speed and Time
Time, Distance and Speed Problems
Converting Hour Minutes to Decimal Time
Converting Decimal Time to Hour Minutes
Time – Distance Graphs
12-Sep-18
Created by Mr. Lafferty Maths Dept.

2. Created by Mr. Lafferty Maths Dept.
Starter Questions
12-Sep-18
Created by Mr. Lafferty Maths Dept.

3. Created by Mr. Lafferty Maths Dept.
Starter Questions 6x 4x 4x
120o
70o
12-Sep-18
Created by Mr. Lafferty Maths Dept.

4. Created by Mr. Lafferty Maths Dept.
Distance
Working Out Distance
Learning Intention
Success Criteria
1. We are learning how to work out simple distance.
Understand the distance formula.
2. Apply the formula to calculate simple distance.
12-Sep-18
Created by Mr. Lafferty Maths Dept.

5. Created by Mr. Lafferty Maths Dept.
Distance
Working out Distances
Level 4+
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
Can you guess what the formula is :
in symbols
12-Sep-18
Created by Mr. Lafferty Maths Dept.

6. Basic Fractional Hours
You should already know :
12-Sep-18
Created by Mr. Lafferty Maths Dept.

7. Distance www.mathsrevision.com
Remember times need to be consistent !!
Distance
Example : A racing car travelled at 50 km/hr.
What is the distance covered in 6 hours ?
Working
12-Sep-18
Created by Mr. Lafferty Maths Dept.

8. Created by Mr. Lafferty Maths Dept.
Distance
Working Out Distance
Level 4+
Now try TJ4+
Ex 14.1
Ch14 (page 101)
12-Sep-18
Created by Mr. Lafferty Maths Dept.

9. Created by Mr. Lafferty Maths Dept.
Starter Questions
12-Sep-18
Created by Mr. Lafferty Maths Dept.

10. Created by Mr. Lafferty Maths Dept.
Speed
Working Out Speed
Learning Intention
Success Criteria
1. We are learning how to calculate simple speed and time.
Understand the speed and Time formulae.
2. Apply the formula to calculate simple speed and Time problems.
12-Sep-18
Created by Mr. Lafferty Maths Dept.

11. Created by Mr. Lafferty Maths Dept.
Speed
Working Out Speed
Level 4+
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
Can you guess what the formula is :
in symbols
12-Sep-18
Created by Mr. Lafferty Maths Dept.

12. Created by Mr. Lafferty Maths Dept.
Speed
Example : Sean flies to Majorca on holiday , a distance of 2500km.
It took 4hrs to get there.
What was the plane’s average speed?
Working
12-Sep-18
Created by Mr. Lafferty Maths Dept.

13. Created by Mr. Lafferty Maths Dept.
Time Distance Speed
Mixed Problems
Example :
Liam drove from his house to the Fort William, a distance
of 180 miles. It took him 3hrs. What was his average speed?
Working
12-Sep-18
Created by Mr. Lafferty Maths Dept.

14. Created by Mr. Lafferty Maths Dept.
Time
Working Out Time
Level 4+
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
Can you guess what the formula is :
in symbols
12-Sep-18
Created by Mr. Lafferty Maths Dept.

15. Created by Mr. Lafferty Maths Dept.
Time
Ex : Tony ran 400 metres at an average speed of 5m/s.
How long did he take to complete the race.
Working
12-Sep-18
Created by Mr. Lafferty Maths Dept.

16. Created by Mr. Lafferty Maths Dept.
Time
Working Out Time
Level 4+
Now try TJ4+
Ex 14.2
Ch14 (page 102)
12-Sep-18
Created by Mr. Lafferty Maths Dept.

17. Created by Mr. Lafferty Maths Dept.
Starter Questions
12-Sep-18
Created by Mr. Lafferty Maths Dept.

18. Created by Mr. Lafferty Maths Dept.
Time Distance Speed
Mixed Problems
Learning Intention
Success Criteria
1. Remember triangle method for distance, speed time problems.
1. We are learning the triangle method for remembering the distance, speed and time formulae.
2. Apply triangle method to mixed problems.
12-Sep-18
Created by Mr. Lafferty Maths Dept.

19. Created by Mr. Lafferty Maths Dept.
Time Distance Speed
Mixed Problems
Level 4+
D=S T D S T
Simple way to remember the 3 formulae !
12-Sep-18
Created by Mr. Lafferty Maths Dept.

20. D S T Time Distance Speed www.mathsrevision.com Mixed Problems
Time MUST be in hours format
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?
Working D S T
12-Sep-18
Created by Mr. Lafferty Maths Dept.

21. Created by Mr. Lafferty Maths Dept.
Time Distance Speed
Mixed Problems
Example 2 : A train travelled at an average of 70 km/hr.
What is the distance covered in 6 hour and 30mins ?
Working D S T
12-Sep-18
Created by Mr. Lafferty Maths Dept.

22. Created by Mr. Lafferty Maths Dept.
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. D S T
Working
12-Sep-18
Created by Mr. Lafferty Maths Dept.

23. Created by Mr. Lafferty Maths Dept.
An overnight train left London at 2040 and reached Inverness at 0810 the next day.
The distance travelled by the train was 552 miles.
Calculate the average speed of the train.
12-Sep-18
Created by Mr. Lafferty Maths Dept.

24. Created by Mr. Lafferty Maths Dept.
Ali drove overnight 406 miles from Galashiels to Portsmouth to catch a ferry to France.
His average speed for the journey was 56 miles per hour.
He arrived in Portsmouth at 0630.
At what time did he leave Galashiels?
12-Sep-18
Created by Mr. Lafferty Maths Dept.

25. Created by Mr. Lafferty Maths Dept.
(a) An inter-city coach left Aberdeen at am
and reached Inverness at 1.25pm.
How long did the journey take?
(b) The average speed of the coach during the journey was 40 miles per hour.
Find the distance between Aberdeen and Inverness.
12-Sep-18
Created by Mr. Lafferty Maths Dept.

26. Created by Mr. Lafferty Maths Dept.
Time Distance Speed
Mixed Problems
Level 4+
Now try TJ4+
Ex 14.3
Ch14 (page 103)
12-Sep-18
Created by Mr. Lafferty Maths Dept.

27. Created by Mr. Lafferty Maths Dept.
Starter Questions
12-Sep-18
Created by Mr. Lafferty Maths Dept.

28. Hrs Mins to Decimal Time
Converting Hrs Mins to Decimal Time
Learning Intention
Success Criteria
1. Remember that decimal time MUST be used in formulae.
1. We are learning how to convert hours and minutes to decimal time.
2. Convert from hours and mins to decimal time.
12-Sep-18
Created by Mr. Lafferty Maths Dept.

29. 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
Example 2 :
2hr 15 minutes to decimal is
= 2.25 hr
To change minutes to a decimal ‘divide by 60’
12-Sep-18
Created by Mr. Lafferty Maths Dept.

30. Hrs Mins to Decimal Time
Calculate the decimal hour value for minutes below.
Convert 9 hrs 45 mins into hours
9.75 hrs
Convert 7 hrs 15 mins into hours
7.25 hrs
Convert 6 hrs 30 mins into hours
6.5 hrs
12-Sep-18
Created by Mr. Lafferty Maths Dept.

31. Hrs Mins to Decimal Time
Converting Hrs Mins to Decimal Time
Try and remember the more common decimal hours
6 mins → 0.1 hrs
12 mins → 0.2 hrs
18 mins → 0.3 hrs
24 mins → 0.4 hrs
30 mins → 0.5 hrs
36 mins → 0.6 hrs
42 mins → 0.7 hrs
48 mins → 0.8 hrs
54 mins → 0.9 hrs
12-Sep-18
Created by Mr. Lafferty Maths Dept.

32. Hrs Mins to Decimal Time
Converting Hrs Mins to Decimal Time
Calculate the decimal hour value for minutes below.
0.7hrs
0.3hrs
0.6hrs
0.5hrs
0.2hrs
0.1hrs
0.4hrs
0.9hrs
12-Sep-18
Created by Mr. Lafferty Maths Dept.

33. Created by Mr. Lafferty Maths Dept.
Time Distance Speed
Mixed Problems
Ex : A bus travels from Glasgow to London a distance of 556.8km.
It took 9 hours and 36 minutes.
What was the average speed of the bus ?
Working D S T
12-Sep-18
Created by Mr. Lafferty Maths Dept.

34. Created by Mr. Lafferty Maths Dept.
Time Distance Speed
Mixed Problems
Example : A train travelled at 70 km/hr for 2hrs 54mins.
How far did it travel in this time.
Working D S T
12-Sep-18
Created by Mr. Lafferty Maths Dept.

35. Created by Mr. Lafferty Maths Dept.
Time Distance Speed
Converting Hrs Mins to Decimal Times
Level 4+
Now try TJ4+
Ex 14.4
Ch14 (page 104)
12-Sep-18
Created by Mr. Lafferty Maths Dept.

36. Created by Mr. Lafferty Maths Dept.
Starter Questions
12-Sep-18
Created by Mr. Lafferty Maths Dept.

37. Hrs Mins to Decimal Time
Converting Decimal Time to Hrs Mins
Learning Intention
Success Criteria
1. Apply the rule for converting back from decimal time to hours and mins.
1. We are learning how to convert back from decimal time to hours and minutes.
12-Sep-18
Created by Mr. Lafferty Maths Dept.

38. 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’
To convert back to and minutes we do the opposite :
To change decimal time to minutes ‘multiply by 60’
12-Sep-18
Created by Mr. Lafferty Maths Dept.

39. 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
Example 2 :
3.4 hrs to hours and minutes is
= 3 hrs 24 mins
12-Sep-18
Created by Mr. Lafferty Maths Dept.

40. Decimal Time to Hrs Mins
Calculate the hours and minutes for theses decimal hours
3hrs 30mins
4hr 15mins
6hrs 45mins
12-Sep-18
Created by Mr. Lafferty Maths Dept.

41. Hrs Mins to Decimal Time
Converting Decimal Time to Hrs Mins
Calculate the hours and minutes for theses decimal hours
4hrs 42mins
1hr 48mins
4hrs 36mins
1hr 24mins
3hrs 18mins
12-Sep-18
Created by Mr. Lafferty Maths Dept.

42. Created by Mr. Lafferty Maths Dept.
Time Distance Speed
Mixed Problems
Ex : An aeroplane flies between Glasgow and New York.
The distance between the two cities is 3200 miles.
The average speed of the plane is 500 mph.
How long did the journey take?
Working D S T
12-Sep-18
Created by Mr. Lafferty Maths Dept.

43. Created by Mr. Lafferty Maths Dept.
Time Distance Speed
Converting Decimal Time to Hrs Mins
Level 4+
Now try TJ4+
Ex 14.5
Ch14 (page 105)
12-Sep-18
Created by Mr. Lafferty Maths Dept.

44. Created by Mr. Lafferty Maths Dept.
Starter Questions
12-Sep-18
Created by Mr. Lafferty Maths Dept.

45. Created by Mr. Lafferty Maths Dept.
Time Distance Graph
Interpreting Time – Distance Graphs
Learning Intention
Success Criteria
1. Understand the term interpret.
We are learning to interpret Time – Distance Graphs.
Understand that the speed can be calculated from the
Time - Distance Graph.
12-Sep-18
Created by Mr. Lafferty Maths Dept.

46. Created by Mr. Lafferty Maths Dept.
Time Distance Graph
Interpreting Time – Distance Graphs
12-Sep-18
Created by Mr. Lafferty Maths Dept.

47. Created by Mr. Lafferty Maths Dept.
Andrea leaves home in Perth at 7 am and drives 40 miles to Edinburgh Airport where she then catches a flight to Dublin. Her journey is shown on the graph.
How long does she spend waiting at Edinburgh Airport?
(b) Calculate the average speed of her flight from Edinburgh to Dublin.
12-Sep-18
Created by Mr. Lafferty Maths Dept.

48. Mixed Questions Now Now try TJ4+ Ex 14.6 Ch14 (page 107)
Have you updated your Learning Log ?
Mixed Questions
Now
Now try TJ4+
Ex 14.6
Ch14 (page 107)
Are you on Target ?
I can ?
Mind Map
12-Sep-18
Created by Mr. Lafferty Maths Dept.