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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

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Answer

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

Step 2

Calculate Total Time

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Answer

The journey starts at 09:00 and ends at 11:00, giving a total time of 2 hours.

Step 3

Calculate Average Speed

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Answer

Average speed can be calculated using the formula:

vavg=Total DistanceTotal Timevavg=160 km2 hours=80 km/hv_{avg} = \frac{\text{Total Distance}}{\text{Total Time}} v_{avg} = \frac{160 \text{ km}}{2 \text{ hours}} = 80 \text{ km/h}

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