Time Distance Speed Calculations

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Time Distance Speed Calculations - PowerPoint PPT Presentation

Time Distance Speed Calculations. Distance = Speed × Time. Units of Measure:. Time:. Hours. Minutes. There are 60 minutes in an hour so convert these times in minutes to hours (in decimal notation). Minutes to hours. Hours to minutes. Write as a fraction compared

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Time Distance Speed Calculations

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Presentation Transcript

Time Distance Speed Calculations

Distance = Speed × Time

Units of Measure:

Time:

Hours

Minutes

There are 60 minutes in an hour so convert these times in

minutes to hours (in decimal notation).

Minutes to hours

Hours to minutes

Write as a fraction compared

with 60 minutes (in an hour)

Multiply by 60

30

60

30 minutes

= 0.5 hrs

2 hours

2× 60

= 120 mins

15

60

15 minutes

= 0.25 hrs

0.75 hours

0.75× 60

= 45 mins

Time Distance Speed Calculations

Distance = Speed × Time

Units of Measure:

Distance:

Kilometres

Miles

Metres

Means ÷

Speed:

Kilometres per hour

km/hr

km/hr

Miles per hour

miles/hr

Metres per second

m/s

The calculation is given by the units of measure

Distance

Time

Speed =

Time Distance Speed Calculations

Distance = Speed × Time

D = S × T

• Use this formula to find the distances for:
• 20 miles per hour for 2 hours
• 60 miles per hour for 4 hours
• 40 kmph for 30 minutes
• 80 miles per hour for 15 minutes
• 42 km per hour for 10 minutes

20 × 2

40 miles

60 × 4

240 miles

40 × 30

60

20 km

80 × 15

60

20 miles

42 × 10

60

7 km

Time Distance Speed Calculations

Distance = Speed × Time

Using what we have learnt from rearranging equations

If

D

=

S

×

T

then

D

=

S

×

T

and

D

=

S

×

T

Time Distance Speed Calculations

Speed = Distance

Time

• Use this formula to find :
• A train travels 240 km in 4 hours
• What is its average speed?
• A plane flies over two cities that are 63 miles apart.
• The journey takes 7 minutes. What is its average speed?
• Answer in miles per minute
• 3. An athlete can run 100 metres in 12 seconds. Calculate the
• athlete’s speed.
• Answer in metres per second and 1 d.p.
• A cheetah took 6 seconds to run 150m. How fast did it run?
• Answer in metres per second

240

4

= 60 km per hour

63

7

= 9 miles per minute

100

12

= 8.3 m per second

150

6

= 25 m per second

Time Distance Speed Calculations

Time = Distance

Speed

• Use this formula to find :
• A man ran 400 m at an average speed of 8 m/s
• How long did he take?
• A coach travels 120 miles at an average speed of 40 mph.
• How long did it take?
• A walker travels a distance of 3 km at a steady speed of 4km.
• Find how long he takes in minutes.
• A cyclist travelled 6 km at 18 kmph.
• Find how long he takes in minutes.

400

8

= 50 seconds

120

40

= 3 hours

3

4

= 0.75 hrs

0.75× 60

= 45 mins

.

.

6

18

= 0.3 hrs

= 20 mins

0.3× 60

Time Distance Speed Calculations

• A delivery van sets off at 07:45 to deliver a package 20 miles
• from the store. It arrives at the customer at 08:10
• Calculate the van’s average speed in miles per hour
• The van’s average speed on the return journey is 25 mph.
• b) How long does the return journey take?
• c) Calculate the van’s average speed for the whole journey.

25

60

20

0.4167

= 0.4167 hrs

= 48 miles per hour

20

25

= 0.8 hrs

0.8× 60

= 48 mins

40 miles for (25 + 48) = 73 minutes

73

60

40

1.2167

= 1.2167 hrs

= 32.9 miles per hour