15.04 Speed, distance and time (Extended)

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

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

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

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

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

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?

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?

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?

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?

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?

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?

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?

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

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}.

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

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

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?

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?

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

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.

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.

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

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

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

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.

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.

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.

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?

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.

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 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.

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.

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.

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.

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?

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

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

The table below shows the distances between cities in kilometres:

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.

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

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.

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:

Vincent took a car trip from Pittsburgh to Baltimore. The driving time was 2.9 hours. If the distance between Pittsburgh and Baltimore is 2.8 units as it appears on the map, what is the average speed of the car? Round your answer to two decimal places.

Ned took a plane from Brisbane to Townsville. The flight time was 2.4 hours. If the distance between Brisbane and Townsville is 4 units as it appears on the map, what is the average speed of the airplane? Round your answer to two decimal places.

Abdul is driving from Perth to Coral Bay:

a

Given the scale on the map, estimate the distance from Perth to Coral Bay correct to the nearest 100 \text{ km}.

b

If fuel costs \$1.35 per litre and the car consumes 13 litres per 100 \text{ km}, estimate the cost of fuel for the drive.

c

If the car travels at an average of 100\text{ km/h}, how long will the trip take in hours?

Consider the following map:

a

Given the scale on the map, estimate the distance from Adelaide to Uluru correct to the nearest 100 \text{ km}.

b

If fuel costs \$1.40 per litre and the car consumes 12 litres per 100 \text{ km}, estimate the cost of fuel for the trip in dollars.

c

If the car travels at an average of 95\text{ km/h}, how long will the trip take in hours? Round your answer to two decimal places.

Consider the following map:

a

Given the scale on the map, estimate the distance from Melbourne Airport to the Melbourne CBD correct to the nearest 10 \text{ km}.

b

If a taxi charges \$1.80 per kilometre in addition to a \$3 booking fee and \$5 for road tolls, estimate a fare into town in dollars.

c

If the car travels at an average of 60\text{ km/h}, how long will the trip take in minutes?

Consider the following map:

a

Given the scale on the map, estimate the distance from Southbank helipad to Geelong correct to the nearest 10 \text{ km}.

b

A chartered helicopter travels at an average speed of 210\text{ km/h}. How many minutes should the flight last?

c

The helicopter cost \$10 per minute plus a booking fee of \$60. Estimate the cost of the chartered flight

Aashish wanted to travel from Auckland to Wellington. However, he could not drive the entire distance in one go. He decided to make one stop on the way at a hotel in Taupo.

a

It took Aashish 5.4 hours to reach the hotel. If the distance between Auckland and Taupo is 3 \text{ cm} on the map, what was his average speed for the first part of the trip? Round your answer to one decimal place.

b

Aashish's average speed on the second trip was 53.8\text{ km/h}. If the trip took him 8 hours, what is the distance between Taupo and Wellington?

c

How far should the distance between Taupo and Wellington appear on the map? Round your answer to one decimal place.

d

The room at the hotel cost \$80. If the fuel cost is 158 cents/litre, and Aashish's car fuel usage is 7 kilometre/litre, what was the cost of the entire trip from Auckland to Wellington?

A taxi company wants to find the cost of a direct trip from Birkdale to Albany Creek to publish the fee for customers.

Carl wanted to fly from Perth to Adelaide with an overnight stop in Sydney.