Kingsley planned to cycle from Town P to Town Q. If he were to cycle at 10 km/h, he would reach Town Q at 7.45 p.m. If he were to cycle at 12 km/h, he would reach Town Q at 7.15 p.m. What was the distance between Town P and Town Q? [3 marks][Answer given: 30 km]
1/2 h
---> 10 km/h 7.15 pm 7.45 pm
|-------------------------------|-----------------|
P Q
-----> 12 km/h 7.15 pm
10 x 1/2 = 5 km Difference in distance
12 - 10 = 2 km/h Difference in speed
2 km --> 1 h
5 km --> 5/2 x 1 = 2 1/2 h Total time to cause the difference in distance
12 x 5/2 = 30 km Note: use 12 km/h (For 10 km/h, the journey is not completed yet
It was 30 km.
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