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

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

IP 1
6 marks

During an outdoor expedition, Marcus spends a total of \(1\frac12\) hours walking, paddling and cycling.
He spends \(x\) minutes walking, 10 minutes less than this paddling, and \(0.5x\) minutes cycling.

  1. Form an equation in \(x\) and find the time Marcus spends walking.

    [2]

Marcus travels a total distance of \(9000\) m. His average paddling speed is \(60\) m/min. The distances travelled by paddling, cycling and walking are in the ratio \(6:20:y.\)

  1. Find \(y\).

    [2]
  2. Find Marcus's average cycling speed in m/min.

    [2]

Solution:

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Answer:(a) \(x=40\), so \(40\text{ min}\). (b) \(y=4\). (c) \(300\text{ m/min}\).

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