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Anna and Paddy take part in the same fun run - OCR - GCSE Maths - Question 15 - 2019 - Paper 1
Question 15
Anna and Paddy take part in the same fun run. Anna completed the fun run in 2 hours. Her average speed was 6 kilometres per hour. Paddy completed the fun run in 90 ... show full transcript
Worked Solution & Example Answer:Anna and Paddy take part in the same fun run - OCR - GCSE Maths - Question 15 - 2019 - Paper 1
Step 1
Work out Paddy’s average speed in kilometres per hour.
Answer
To find Paddy's average speed, we first need to determine the distance he ran. Since Anna completed the fun run in 2 hours at an average speed of 6 kilometres per hour, we can calculate the distance as follows:
Distance = Speed × Time = 6 km/h × 2 h = 12 km.
Next, we convert Paddy's completion time from minutes to hours. Since he completed the run in 90 minutes, we convert this to hours:
90 minutes = 90/60 hours = 1.5 hours.
Now, we can use the formula for average speed, which is:
Average Speed = Distance / Time.
Substituting the values:
Average Speed = 12 km / 1.5 h = 8 km/h.
Thus, Paddy’s average speed is 8 km/h.
Step 2
Give one reason to support Anna’s statement.
Answer
One reason to support Anna's statement is that her average speed of 6 kilometres per hour is calculated without accounting for any stoppages during her run. Since Anna mentioned that she stopped for drinks, her effective running time was actually less than the total time she took to complete the run, which implies that her average speed while running was indeed faster than 6 kilometres per hour.