At 08 10, Elyse left Town K and cycled towards Town L. Julie left Town K and cycled towards Town L at 08 40. Julie's cycling speed was 2 km/h faster than Elyse. At 12 10, Julie caught up with Elyse. Find the cycling speed of each cyclist.
- Elyse
- Julie
(a)
Duration that Julie cycled from 08 40 to 12 10
= 3
3060 = 3
12 h
Distance that Julie cycled more than Elyse
= 3
12 x 2
= 7 km
However, since Elyse left 30 minutes earlier than Julie and Julie caught up with Elyse, it means that Elyse has cycled 7 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Elyse's cycling speed
= 7 ÷
12 = 7 x
21 = 14 km/h
(b)
Julie's cycling speed
= 14 + 2
= 16 km/h
Answer(s): (a) 14 km/h ; (b) 16 km/h