Wyatt and Aaron were planning to run on a circular track with a circumference of 800 m. Both of them started jogging together at the same start point and moved round the track in a clockwise direction at uniform speeds. Wyatt completed a full round in 80 s. Aaron completed a full round in 50 s.
- How long would it take for Aaron to overtake Wyatt for the first time?
- How far was Aaron ahead of Wyatt after 16 s?
(a)
LCM of 50 and 80 is 400.
Time taken for Aaron to overtake Wyatt
= 400 s
(b)
Aaron's speed
= 800 ÷ 50
= 16 m/s
Wyatt's speed
= 800 ÷ 80
= 10 m/s
Difference in speed
= 16 - 10
= 6 m/s
Distance Wyatt was behind Aaron after 16s
= 16 x 6
= 96 m
Answer(s): (a) 400s; (b) 96 m