Mia and Mason were planning to run on a circular track with a circumference of 700 m. Both of them started jogging together at the same start point and moved round the track in a clockwise direction at uniform speeds. Mia completed a full round in 70 s. Mason completed a full round in 50 s.
- How long would it take for Mason to overtake Mia for the first time?
- How far was Mason ahead of Mia after 14 s?
(a)
LCM of 50 and 70 is 350.
Time taken for Mason to overtake Mia
= 350 s
(b)
Mason's speed
= 700 ÷ 50
= 14 m/s
Mia's speed
= 700 ÷ 70
= 10 m/s
Difference in speed
= 14 - 10
= 4 m/s
Distance Mia was behind Mason after 14s
= 14 x 4
= 56 m
Answer(s): (a) 350s; (b) 56 m