Ratio, Rate and Speed - Dividing Quantities in a Given Ratio

Ratio, Rate and Speed - Dividing Quantities in a Given Ratio

IP 1
3 marks

A cyclist travels along a route consisting of an uphill section, a level section and a downhill section.
She cycles uphill for \(12\) minutes, then travels \(4.8\) km along level ground at \(0.24\) km/min, before cycling downhill for \(10\) minutes.
The ratio of her speeds uphill, on level ground and downhill is \(3:4:6\).

  1. Find her speed while cycling uphill, in kilometres per minute.

    [1]
  2. She stops for \(3\) minutes after completing the level section. Find her average speed for the whole journey, in kilometres per minute, correct to \(2\) decimal places.

    [2]

Solution:

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Answer:(a) \(0.18\text{ km/min}\). (b) \(0.23\text{ km/min}\).

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