2023 ACSBR EM S1 EOY P2 Q6

2023 ACSBR EM S1 EOY P2 Q6

6 marks

A bus travels at a speed of \({15\ \mathrm{m/s}}\) from Town \({X}\) to Town \({Y}\). Towns \({X}\) and \({Y}\) are \({48\ \mathrm{km}}\) apart.

  1. Change \({15\ \mathrm{m/s}}\) into \({\mathrm{km/h}}\).[1]
  2. Calculate the time taken for the bus to travel from Town \({X}\) to Town \({Y}\).
    Give your answer in minutes and seconds.[2]
  3. The bus continued to travel \({37\ \mathrm{km}}\) from Town \({Y}\) to Town \({Z}\) in \({39}\) minutes and \({40}\) seconds. Calculate the average speed for the whole journey from Town \({X}\) to Town \({Z}\).Give your answer in kilometres per hour.[3]

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Answer:(a) \(54\text{ km/h}\) (b) \(53\text{ min}\hspace{0.5em}20\text{ s}\) (c) \(54.8\text{ km/h}\)

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