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10.06 Speed, distance and time

Worksheet
Speed, distance and time
1

If the average speed of a journey was 63 \text{ km/h}, determine whether the following statements are true or false:

a

The minimum speed of the journey was 63\text{ km/h}.

b

The maximum speed over the journey was 63\text{ km/h}.

c

63 \text{ km} were travelled in exactly 1 hour.

d

The speed could have waivered above and below the speed of 63\text{ km/h}.

e

The journey took 1 hour.

2

Maria travels by car for 420 \text{ km}. The trip takes 10 hours. What is the average speed of the trip?

3

Amelia travelled by car, crossing a distance of 340 \text{ km} in 5 hours. At what average speed was the car travelling?

4

Sally tells Neil that her trip from Uppity to Downtown had an average speed of 90\text{ km/h}.

a

If the trip took 3 hours, what distance was covered?

b

State another example of how long the the trip could have taken and what distance would have been covered at an average speed of 90\text{ km/h}.

5

A dog travels 42 \text{ km} in 1.4 hours. At what speed is it travelling?

6

A man drives a truck 144 \text{ km} in 2 hours, then stops to refuel and eat lunch at a petrol station for an hour. He then drives the truck for another 5 hours, covering 96 \text{ km}. What was the truck’s average speed throughout the whole journey, in kilometres per hour?

7

At 11:45 am, Christa and Sharon leave in their car headed to Brisbane 96 \text{ km} away. They arrive at 1:15 pm. What is the average speed of the journey?

8

At 9:50 am, Skye and Isabelle leave in their car headed to Melbourne 399 \text{ km} away. They arrive at 2:35 pm. What was the average speed of the journey?

9

A bus leaves the depot at 6:00 am and 324.5 \text{ km} later arrives at 11:30 am. What was the average speed of the journey?

10

Two animals were tracked and their movements were measured over different time periods. The cat travelled 31.2 \text{ km} in 1.4 hours, while the sugar glider possum travelled 95.8 \text{ km} in 4.2 hours. Which animal travelled more slowly?

11

If a galapagos turtle travels 0.306 \text{ km} at a speed of 0.09 \text{ km/h}, how long will it take the animal to cross the whole distance?

12

If a sugar glider possum travels 6 \text{ km} at a speed of 15 \text{ km/h}, how long will it take the animal to cross the whole distance?

13

Luke runs to school. The school is 7.5 \text{ km} away and he runs at 10 \text{ km/h}.

a

How long will it take Luke to reach school?

b

If school starts at 8:55 am, what is the latest time he should leave home?

14

A woman runs 2.4 \text{ km} at a speed of 8 \text{ m/s}, then rests for 15 minutes. She then drives to the gym 15 \text{ km} away at a speed of 75\text{ km/h}.

a

Calculate the time she takes to complete her run (excluding rest time).

b

Find the time it takes for her to drive to the gym.

c

What is the total time of the journey?

15

If a lioness travels for 1.5 hours at speed of 42 \text{ km/h}, how far will the lioness travel?

16

If a cheetah travels for 0.3 hours at a speed of 37 \text{ km/h}, how far will the cheetah travel?

17

Two animals were tracked and their movements were measured over different time periods. The cat travelled 10 \text{ km} in 0.1 hours, while the rabbit travelled 34 \text{ km} in 0.3 hours. Continuing at the rate measured, how far would the cat travel in 0.3 hours?

18

James and Valentina left the airport at the same time and immediately started travelling in opposite directions on the freeway, with James travelling at 42 \text{ km/h} and Valentina travelling at 33 \text{ km/h}. How far apart were they after 2.2 hours?

19

If a bike rode 360 \text{ m} over 45 seconds, find its speed in metres per second, correct to one decimal place.

20

If a scooter travelled at 29\text{ km/h} and has covered 139.2 \text{ km}, how long has it been travelling? Round your answer to one decimal place.

21

If a car travelled at 30 \text{ m/s} for 19 minutes, find the distance it has travelled in kilometres, correct to one decimal place.

22

If a moped travelled 150 \text{ km} over 5 hours, find its speed in kilometres per hour.

23

If a tram travelled at 32 \text{ m/s} and has covered 24 \text{ km}, how long did the journey take in minutes?

24

If a train travelled at 85\text{ km/h} for 5.4 hours, find the distance it covered in kilometres.

25

Tobias left the airport heading west at 44 \text{ km/h}. At the same time, Katrina left the airport heading east. After 2.6 hours, Tobias and Katrina were 202.8 \text{ km} apart.

a

Determine the distance that Tobias had travelled.

b

What was Katrina's average speed?

26

Aoife and Ned both left the office and started travelling directly toward the store, but Ned left 3 hours after Aoife, travelling at 88 \text{ km/h}. Four hours after Ned had left the office, both of them arrived at the store at the same time.

a

How many kilometres did Ned travel to reach the store?

b

What was Aoife's average speed throughout her journey? Round your answer to one decimal place.

27

Robert made a trip from his house to the beach and back. The trip there took 3 hours and the trip back took 4 hours. He averaged a speed of 36\text{ km/h} on the return trip.

a

How far did Robert travel one way from the beach back to his house?

b

Given that he took the same route to and from the beach, what was Robert's average speed on the trip from his house to the beach? Round your answer to one decimal place.

28

Ray left home and drove his scooter toward the beach at an average speed of 27\text{ km/h}. Some time later, Amelia left, driving her car from the same origin and in the same direction but at an average speed of 56\text{ km/h}. After driving for \dfrac{18}{5} hours, Amelia caught up with Ray. How far did Ray drive before Amelia caught up?

29

Sandy left home and rode her racing bike toward the mountains at an average speed of 32\text{ km/h}. Six hours later, Aaron left, driving a scooter from the same origin and in the same direction but at an average speed of 80 \text{ km/h}. Find the number of hours it took Aaron to catch up with Sandy.

30

Carl and Aicha left different places at the same time and are travelling in the same direction. Carl travelled at an average speed of 21 \text{ km/h}. Aicha travelled at an average speed of 64 \text{ km/h}.

a

If Carl travelled 231 \text{ km} before Aicha caught up with him, find t, the time in hours that it took Aicha to overtake Carl.

b

Find d, the additional distance in kilometres, that Aicha had travelled compared to Carl.

31

A cargo plane left the airport and flew toward Newcastle at an average speed of 306 \text{ km/h}. The plane then flew again towards Brisbane at a speed of 298 \text{ km/h}. The plane travelled 804.6 \text{ km} on the second trip.

a

How long did it take the cargo plane to travel the second trip from Newcastle to Brisbane?

b

Assuming that it took the cargo plane the same time to travel on both trips, what distance did the plane travel from its initial position to Newcastle?

32

Christa made a trip to her friend's house and back. The trip there took 2.7 hours and the trip back took 2.9 hours. She averaged a speed of 80 \text{ km/h} over the entire return trip there and back.

a

How many kilometres in total did Christa travel in the going and return trip?

b

If the trip from her friend's house back to home was 215.04 \text{ km} long, how far was the trip going from home to her friend's house?

33

The distance from Melbourne to Sydney by road is approximately 880 \text{ km}. How much longer will it take a bus travelling at an average speed of 80\text{ km/h}, compared to a car travelling at an average of 95 \text{ km/h}? Give your answer in hours, correct to two decimal places.

34

The distance from Quiana’s house to her work in the city is 40 \text{ km}. In the morning traffic, she can travel by car at an average speed of 48\text{ km/h} or by bicycle at an average of 25\text{ km/h}. How much time will she save on the morning commute to work if she uses her car? Give your answer in hours, correct to two decimal places.

35

The distance from Oliver’s house to university is 8 \text{ km}. He can travel by bicycle at an average of 20\text{ km/h} or tram at 16 \text{ km/h}. How much longer will the journey take if he decides to take the tram?

Distance tables
36

The table below shows the distances, in kilometres, between various locations in Australia:

BrisbaneSydneyCanberraMelbourneAdelaidePerth
Brisbane010101268166931004384
Sydney1010028896314274110
Canberra1268288064712043911
Melbourne166996364707283430
Adelaide31001427120472802725
Perth438441103911343027250
a

Georgia, who lives in Brisbane, wants to travel around Australia by bike, which has an average speed of 20\text{ km/h}. Which city would be quickest to travel to first, and how how many hours would it take for Georgia to get there?

b

If a car can travel at an average speed of 98 \text{ km/h}, how many hours will it take to travel from Brisbane to Perth? Round your answer to two decimal places.

c

Derek wants to travel from Adelaide to Perth.

i

How long would it take him to make the trip by bus, if it travels at an average speed of 78\text{ km/h}? Round your answer to two decimal places.

ii

How long would it take him to make the trip by train, if it travels at an average speed of 237\text{ km/h}? Round your answer to two decimal places.

iii

How long would it take him to make the trip by car, if it travels at an average speed of 96\text{ km/h}? Round your answer to two decimal places.

d

Which trip is quicker, Canberra to Brisbane via train at an average speed of 209\text{ km/h}, or Canberra to Perth via bus at an average speed of 80\text{ km/h}?

37

The table below shows the distances between various locations in Europe:

LondonParisRomeMadridBerlinAthens
London0456841171510993151
Paris45601431127110552915
Rome84114310196315191349
Madrid171512711963023223290
Berlin109910551519232202346
Athens315129151349329023460
a

If a plane can travel at an average speed of 999 \text{ km/h}, how long will it take to travel between Berlin and Rome in hours and whole minutes?

b

How long does it take to travel from Paris to Madrid via bus then Madrid to Athens via bike, if a bus has an average speed of 80\text{ km/h} and a bike has an average speed of 31\text{ km/h}? Give your answer in hours and whole minutes.

c

How many hours, to two decimal places, would it take to travel from Athens to Madrid via bus at an average speed of 77 \text{ km/h}?

d

How many hours, to two decimal places, would it take to travel from Athens to Paris via bike at an average speed of 22\text{ km/h}?

e

Which trip is quicker, Athens to Paris via bike or Athens to Madrid via bus?

f

How many whole minutes would it take to travel from Rome to Madrid via plane travelling at an average speed of 997\text{ km/h}?

g

How many whole minutes would it take to travel from Rome to Berlin via bus travelling at an average speed of 70\text{ km/h}?

h

Which trip is quicker, Rome to Berlin via bus or Rome to Madrid via plane?

38

The table below shows the distances between cities in kilometres:

BerlinLondonCopenhagenAmsterdamMoscowRome
Berlin058761335421331301
London587036292516011175
Copenhagen613362095015621526
Amsterdam354925950024791433
Moscow213316011562247902354
Rome130111751526143323540

Dave states that his trip between Amsterdam and Moscow had an average speed of 80\text{ km/h}. Find how long the trip from Amsterdam to Moscow took Dave. Round your answer correct to two decimal places.

39

The table displays the distances between two towns in kilometres. For example, the distance between Alice Springs and Cairns is 2727 \text{ km}.

\text{Alice Springs}
3012\text{Brisbane}
23241717\text{Cairns}
151134152727\text{Darwin}
2270167430543781\text{Melbourne}
36304384595440453452\text{Perth}
2644996254640008684144\text{Sydney}
209614673742556285757282494\text{Townsville}

Sally states that her trip between Brisbane and Townsville had an average speed of 91 \text{ km/h}. How many hours did it take Sally to travel from Brisbane to Townsville? Round your answer correct to two decimal places.

40

Emma is taking part in a youth group tour and travels from Amsterdam, departing at 10:45 am, to Prague via Berlin. The first part of the trip took 8.41 hours, and she travelled at the same average speed for the second part of the trip. The distances between towns are shown in the table:

Town ATown BDistance from Town A to Town BTown CDistance from Town B to Town C
\text{Amsterdam}\text{Berlin}690 \text{ km}\text{Prague}380\text{ km}
\text{Brussels}\text{Frankfurt}405\text{ km}\text{Geneva}585\text{ km}
\text{Grenoble}\text{Milan}390\text{ km}\text{Munich}550\text{ km}
\text{Florence}\text{Munich}650\text{ km}\text{Prague}360\text{ km}
\text{Paris}\text{Geneva}550\text{ km}\text{Frankfurt}585\text{ km}
a

What was her average speed on the first part of her trip from Amsterdam to Berlin? Round your answer to two decimal places.

b

Hence, find the number of hours it took to cover the second part of the trip between Berlin and Prague. Round your answer to two decimal places.

c

Determine the time at which Emma arrives at Prague.

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Outcomes

2.2.1.7

compare the time taken to travel a specific distance with various modes of transport

2.2.3.4

calculate speed, distance or time using the formula, speed = distance time

2.2.3.6

calculate average speed

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