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The graph below shows some details about a journey Alex made by bicycle - Junior Cycle Mathematics - Question 15 - 2013

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Question 15

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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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Answer

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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Answer

To find the distance travelled at the highest speed, we can use the formula:

extDistance=extSpeedimesextTime ext{Distance} = ext{Speed} imes ext{Time}

Alex travelled for 10 minutes, which is equivalent to rac{1}{6} hour. Thus:

ext{Distance} = 20 ext{ km/h} imes rac{1}{6} ext{ hour} = rac{20}{6} ext{ km} ightarrow rac{10}{3} ext{ km} ext{ or approximately } 3.33 ext{ km}.

Therefore, Alex travelled approximately 3.33 km at the highest speed.

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