The graph shows Mia's journey from her home to university - OCR - GCSE Maths - Question 2 - 2017 - Paper 1
Question 2
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 TimeTotal Distance
Substituting the values, we have:
Average Speed=2 hours160 km=80 km/h
Thus, Mia's average speed for the whole journey is 80 km/h.