At 09 20, Julie left Town B and cycled towards Town C. Kylie left Town B and cycled towards Town C at 09 40. Kylie's cycling speed was 6 km/h faster than Julie. At 11 20, Kylie caught up with Julie. Find the cycling speed of each cyclist.
- Julie
- Kylie
(a)
Duration that Kylie cycled from 09 40 to 11 20
= 1
4060 = 1
23 h
Distance that Kylie cycled more than Julie
= 1
23 x 6
= 10 km
However, since Julie left 20 minutes earlier than Kylie and Kylie caught up with Julie, it means that Julie has cycled 10 km in 20 min.
1 h = 60 min
20 min = 20 ÷ 60 =
13 h
Julie's cycling speed
= 10 ÷
13 = 10 x
31 = 30 km/h
(b)
Kylie's cycling speed
= 30 + 6
= 36 km/h
Answer(s): (a) 30 km/h ; (b) 36 km/h
