The graph below shows some details about a journey Alex made by bicycle - Junior Cycle Mathematics - Question 15 - 2013
Question 15
The graph below shows some details about a journey Alex made by bicycle.
Alex waited for his friend before he set off on his journey.
(a) How long did he wait befo... show full transcript
Worked Solution & Example Answer:The graph below shows some details about a journey Alex made by bicycle - Junior Cycle Mathematics - Question 15 - 2013
Step 1
How long did he wait before setting out?
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Answer
Alex waited for 5 minutes before setting out, as indicated by the graph, which shows that the speed was zero for the first 5 minutes.
Step 2
What was Alex's highest speed during the journey?
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Answer
The highest speed reached by Alex during the journey was 20 km/h, as shown in the graph at the peak.
Step 3
For what length of time was Alex travelling at the highest speed?
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Alex was travelling at his highest speed of 20 km/h for a duration of 10 minutes, as indicated by the graph.
Step 4
How far did Alex travel at the highest speed?
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To find the distance travelled at the highest speed, we can use the formula:
extDistance=extSpeedimesextTime
Alex travelled for 10 minutes, which is equivalent to rac{1}{6} hour. Thus: