The problem asks us to determine how much longer it took Tom to canoe the first 10 km of a race than it took Andy, given a distance-time graph of their progress. The answer must be in minutes.

Applied MathematicsDistance-Time GraphRateProblem SolvingData Interpretation
2025/4/22

1. Problem Description

The problem asks us to determine how much longer it took Tom to canoe the first 10 km of a race than it took Andy, given a distance-time graph of their progress. The answer must be in minutes.

2. Solution Steps

First, we read the time it took Andy to canoe 10 km from the graph. Locate 10 km on the y-axis (distance travelled). Draw a horizontal line from 10 km to where it intersects the pink line representing Andy's progress. From this intersection, draw a vertical line down to the x-axis (time). It looks like the time is approximately 12:
4

0. So, it took Andy 40 minutes from 12:00 to reach 10 km.

Next, we read the time it took Tom to canoe 10 km from the graph. Locate 10 km on the y-axis (distance travelled). Draw a horizontal line from 10 km to where it intersects the blue dashed line representing Tom's progress. From this intersection, draw a vertical line down to the x-axis (time). It looks like the time is approximately 13:
1

0. So, it took Tom 70 minutes from 12:00 to reach 10 km.

Finally, calculate the difference in time between Tom and Andy.
Time difference = Tom's time - Andy's time = 70 minutes - 40 minutes = 30 minutes.

3. Final Answer

30 minutes

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