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A car travels 240 kilometres in 3 hours and 20 minutes. What is the car's average speed in kilometres per hour?
Express your answer as an exact fraction.
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Explanation
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Worked solution
- The car travels 240 kilometres in 3 hours and 20 minutes. First, convert the time to hours because the required unit for speed is kilometres per hour (km/h). 20 minutes is 20/60 = 1/3 of an hour. So, total time = 3 + 1/3 = 10/3 hours.
- Average speed is calculated using the formula: speed = distance ÷ time. Substitute the given values: speed = 240 km ÷ (10/3) h.
- To divide by a fraction, multiply by its reciprocal. So, 240 ÷ (10/3) = 240 × (3/10). Perform the multiplication: 240 × 3 = 720, then 720 ÷ 10 = 72.
- The result is 72 km/h. This is an exact value, and since 72 is an integer, it can be expressed as the fraction 72/1. However, as a speed in km/h, it is standard to write it as 72 km/h.
Reference answer: 72 km/h
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