The graph shows Mia’s journey from her home to university - OCR - GCSE Maths - Question 15 - 2017 - Paper 1
Question 15
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 15 - 2017 - Paper 1
Calculate the total distance travelled
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From the graph, Mia travels from home (0 km) to university (160 km). Therefore, the total distance travelled is:
extTotalDistance=160extkm−0extkm=160extkmCalculate the total time taken
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The journey starts at 09:00 and ends at approximately 11:30. To calculate the total time:
- Start time: 0 minutes (09:00)
- End time: 150 minutes (11:30)
Thus, the total time taken is:
ext{Total Time} = 150 ext{ minutes} = rac{150}{60} ext{ hours} = 2.5 ext{ hours}Calculate the average speed
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Average speed can be calculated using the formula:
ext{Average Speed} = rac{ ext{Total Distance}}{ ext{Total Time}}
Plugging in the values:
ext{Average Speed} = rac{160 ext{ km}}{2.5 ext{ hours}} = 64 ext{ km/h}
Thus, Mia's average speed for the whole journey is 64 km/h.
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