AI generatedRatio, proportion and rates of changeKey Stage 3

Comparing journeys on a distance-time graph

Comparing journeys on a distance-time graph.

  • Read the time scale and distance units first.
  • A steeper distance–time segment means a greater speed. A horizontal segment means stationary.
  • A downward segment on a distance-from-start graph means returning, not negative distance travelled.

Example 1

Both travellers cover the same distance. Who is faster, and by how many /min?

Coordinate graph123452468101214160
The steeper distance–time graph has the greater speed.Use distance divided by time for each traveller.Subtract the two speeds.
A is faster by .

Example 2

Both travellers cover the same distance. Who is faster, and by how many /min?

Coordinate graph1234562.557.51012.5150
The steeper distance–time graph has the greater speed.Use distance divided by time for each traveller.Subtract the two speeds.
A is faster by .

Your turn

Question 1

Both travellers cover the same distance. Who is faster, and by how many /min?

Coordinate graph12345672.557.51012.51517.50
Check answer
The steeper distance–time graph has the greater speed.Use distance divided by time for each traveller.Subtract the two speeds.
A is faster by .
Question 2

Both travellers cover the same distance. Who is faster, and by how many /min?

Coordinate graph123456782.557.51012.51517.50
Check answer
The steeper distance–time graph has the greater speed.Use distance divided by time for each traveller.Subtract the two speeds.
A is faster by .
Question 3

Both travellers cover the same distance. Who is faster, and by how many /min?

Coordinate graph1234567892.557.51012.51517.5200
Check answer
The steeper distance–time graph has the greater speed.Use distance divided by time for each traveller.Subtract the two speeds.
A is faster by .
Question 4

Both travellers cover the same distance. Who is faster, and by how many /min?

Coordinate graph1234551015200
Check answer
The steeper distance–time graph has the greater speed.Use distance divided by time for each traveller.Subtract the two speeds.
A is faster by .
Question 5

Both travellers cover the same distance. Who is faster, and by how many /min?

Coordinate graph12345651015200
Check answer
The steeper distance–time graph has the greater speed.Use distance divided by time for each traveller.Subtract the two speeds.
A is faster by .
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