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The graph shows Mia's journey from her home to university - OCR - GCSE Maths - Question 2 - 2017 - Paper 1

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The graph shows Mia's journey from her home to university. Calculate Mia's average speed for the whole journey.

Worked Solution & Example Answer:The graph shows Mia's journey from her home to university - OCR - GCSE Maths - Question 2 - 2017 - Paper 1

Step 1

Calculate Total Distance Travelled

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Answer

From the graph, the total distance from home to university is 160 kilometres.

Step 2

Calculate Total Time Taken

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Answer

The time taken for the journey can be found from the graph, starting at 09:00 and ending at 11:00. This gives a total time of 2 hours (or 120 minutes).

Step 3

Calculate Average Speed

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Answer

The formula for average speed is given by:

extAverageSpeed=Total DistanceTotal Time ext{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}

Substituting the values, we have:

Average Speed=160 km2 hours=80 km/h\text{Average Speed} = \frac{160 \text{ km}}{2 \text{ hours}} = 80 \text{ km/h}

Thus, Mia's average speed for the whole journey is 80 km/h.

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