Question 3

3.1

Use the information above and ANNEXURE C to answer the questions that follow.

3.1.1 Determine (as a decimal fraction) the probability of a runner of the Big
Five marathon route accessing a refreshment station that offers ONLY Coke and water. (3)

3.1.2 Give the general direction in which a marathon runner is heading when passing the 20
km mark. (2)

3.1.3 Consider the heights above sea level for this race.
(a) Explain why a runner was CORRECT when he stated that he was running uphill from the start
to the 10 km mark. (2)

(b) Express, in the form 1 : …, the lowest possible height above sea level to the highest
height above sea level. (3)

3.1.4 Explain why there are cut-off times for a marathon. (2)

3.1.5 For the half-marathon a runner must cover a distance of 16,5 km in a time of 5 hours from
the start of the race to beat the cut-off 2 time for the half-marathon..

A runner of the full marathon compared his speed with the speed of a half-marathon runner and
stated that he had to run 2,7 km/h faster in order to beat the cut-off 2 time of the full marathon.

Verify, showing ALL calculations, whether he is CORRECT.

You may use the formula:

Distance=speed x time (6)

3.2