2023 AISS EM S1 EOY P1 Q14

2023 AISS EM S1 EOY P1 Q14

7 marks

Lynn left her house at \({8.20\ \mathrm{am}}\) and drove from Town \({A}\) to \({B}\).

Along the way, she stopped at a café for \({15}\) minutes to buy coffee.

She drove off to Town \({B}\) from the café at a speed of \({60\ \mathrm{km/h}}\).

The ratio of the times she spent on the first part of her journey, buying coffee and the final part of the journey was \({2:1:3}\).

  1. Convert \({60\ \mathrm{km/h}}\) into \({\mathrm{m/s}}\).[2]
  2. What time did Lynn reach Town \({B}\)?[2]
  3. If the distance between Town \({A}\) and the café is \({34\ \mathrm{km}}\), find the
    average speed of the whole journey in kilometres per hour.[3]

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Answer:(a) \(16.7\text{ m/s}\) (b) \(9.50\text{ am}\) (c) \(52.7\text{ km/h}\)

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