(a) Sam cycled south for 16 km. He then turned and cycled east. When he stopped for a rest, the shortest distance back to his starting point was 20 km.
Calculate how many kilometres Sam cycled while travelling east. [3]
(b) Sam cycled the 20 km back to his starting point at a constant speed of 25 km/h. How many minutes did this take? [2]
Mark scheme (a)
Scheme
Marks
Comments
\(16^2 + \text{east}^2 = 20^2\)
S1
Strategy of using Pythagoras; si by sight of e.g. 3, 4, 5
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