At 07 10, Anna left Town F and cycled towards Town G. Kylie left Town F and cycled towards Town G at 07 40. Kylie's cycling speed was 2 km/h faster than Anna. At 10 10, Kylie caught up with Anna. Find the cycling speed of each cyclist.
- Anna
- Kylie
(a)
Duration that Kylie cycled from 07 40 to 10 10
= 2
3060 = 2
12 h
Distance that Kylie cycled more than Anna
= 2
12 x 2
= 5 km
However, since Anna left 30 minutes earlier than Kylie and Kylie caught up with Anna, it means that Anna has cycled 5 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Anna's cycling speed
= 5 ÷
12 = 5 x
21 = 10 km/h
(b)
Kylie's cycling speed
= 10 + 2
= 12 km/h
Answer(s): (a) 10 km/h ; (b) 12 km/h
