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Andy cycles a distance of 30 km at an average speed of 24 km/h - Edexcel - GCSE Maths - Question 3 - 2020 - Paper 3
Question 3
Andy cycles a distance of 30 km at an average speed of 24 km/h. He then runs a distance of 12 km at an average speed of 8 km/h. Work out the total time Andy takes. ... show full transcript
Worked Solution & Example Answer:Andy cycles a distance of 30 km at an average speed of 24 km/h - Edexcel - GCSE Maths - Question 3 - 2020 - Paper 3
Step 1
Calculate the time taken to cycle 30 km
Answer
To determine the time taken to cycle, we use the formula:
Where:
- is the time,
- is the distance (30 km),
- is the speed (24 km/h).
Thus,
t_{cycle} = \frac{30}{24} = 1.25 \text{ hours}$$ Converting this to minutes: $$1.25 \text{ hours} = 1 \text{ hour} + 0.25 \text{ hours} = 1 \text{ hour} + 15 \text{ minutes}$$Step 2
Calculate the time taken to run 12 km
Answer
Using the same formula for running:
Where the distance is 12 km and the speed is 8 km/h:
t_{run} = \frac{12}{8} = 1.5 \text{ hours}$$ Converting this to minutes: $$1.5 \text{ hours} = 1 \text{ hour} + 0.5 \text{ hours} = 1 \text{ hour} + 30 \text{ minutes}$$Step 3
Calculate the total time taken
Answer
Now, we combine the times:
t_{total} = t_{cycle} + t_{run}$$ Substituting the values: $$t_{total} = (1 \text{ hour} + 15 \text{ minutes}) + (1 \text{ hour} + 30 \text{ minutes})$$ This simplifies to: $$2 \text{ hours} + 45 \text{ minutes}$$ Thus, the total time Andy takes is 2 hours and 45 minutes.