A commuter train leaves Ibadan early each weekday morning and covers a distance of 96 kilometres before pulling into Lagos, a journey that regularly takes t...
Question 1 Report
A commuter train leaves Ibadan early each weekday morning and covers a distance of 96 kilometres before pulling into Lagos, a journey that regularly takes the driver 1 hour 20 minutes to complete.
- Work out the average speed of the train in kilometres per hour. (3)
- Write down this speed in metres per second, correct to the nearest whole number. (1)
Answer Details
This question tests calculating average speed from distance and time, then converting the speed between units.
- (a) Convert the time to hours: \(1\) hour \(20\) minutes \(= 1\tfrac{20}{60} = \tfrac{4}{3}\) hours. Using speed = distance ÷ time: \[96 \div \frac{4}{3} = 96 \times \frac{3}{4} = 72 \text{ km/h}\] [3]
- (b) To convert km/h to m/s, multiply by 1000 (metres per kilometre) and divide by 3600 (seconds per hour): \[72 \times \frac{1000}{3600} = 20 \text{ m/s}\] [1]
A quick check: any speed in km/h converts to m/s by dividing by 3.6, since \(3600/1000 = 3.6\); here \(72 \div 3.6 = 20\), confirming the answer.
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