At 08 25, Joelle left Town Y and cycled towards Town Z. Raeann left Town Y and cycled towards Town Z at 08 55. Raeann's cycling speed was 4 km/h faster than Joelle. At 12 25, Raeann caught up with Joelle. Find the cycling speed of each cyclist.
- Joelle
- Raeann
(a)
Duration that Raeann cycled from 08 55 to 12 25
= 3
3060 = 3
12 h
Distance that Raeann cycled more than Joelle
= 3
12 x 4
= 14 km
However, since Joelle left 30 minutes earlier than Raeann and Raeann caught up with Joelle, it means that Joelle has cycled 14 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Joelle's cycling speed
= 14 ÷
12 = 14 x
21 = 28 km/h
(b)
Raeann's cycling speed
= 28 + 4
= 32 km/h
Answer(s): (a) 28 km/h ; (b) 32 km/h