What is the greatest possible speed at which a person can walk 13.3 km and 20.9 km so that the time (in hours) required in each case is a whole number ?

Explanation

We need the HCF of the distances 13.3 and 20.9 to ensure whole number times. Equivalent to finding the HCF of 133 and 209 (in tenths of km). 133 = 7 \times 19 and 209 = 11 \times 19. The HCF is 19. Converting back to km/h gives 1.9 km/h.

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