At 07 20, Xuan left Town B and cycled towards Town C. Julie left Town B and cycled towards Town C at 07 40. Julie's cycling speed was 3 km/h faster than Xuan. At 11 20, Julie caught up with Xuan. Find the cycling speed of each cyclist.
- Xuan
- Julie
(a)
Duration that Julie cycled from 07 40 to 11 20
= 3
4060 = 3
23 h
Distance that Julie cycled more than Xuan
= 3
23 x 3
= 11 km
However, since Xuan left 20 minutes earlier than Julie and Julie caught up with Xuan, it means that Xuan has cycled 11 km in 20 min.
1 h = 60 min
20 min = 20 ÷ 60 =
13 h
Xuan's cycling speed
= 11 ÷
13 = 11 x
31 = 33 km/h
(b)
Julie's cycling speed
= 33 + 3
= 36 km/h
Answer(s): (a) 33 km/h ; (b) 36 km/h
