At 08 15, Roshel left Town V and cycled towards Town W. Jean left Town V and cycled towards Town W at 08 45. Jean's cycling speed was 8 km/h faster than Roshel. At 10 15, Jean caught up with Roshel. Find the cycling speed of each cyclist.
- Roshel
- Jean
(a)
Duration that Jean cycled from 08 45 to 10 15
= 1
3060 = 1
12 h
Distance that Jean cycled more than Roshel
= 1
12 x 8
= 12 km
However, since Roshel left 30 minutes earlier than Jean and Jean caught up with Roshel, it means that Roshel has cycled 12 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Roshel's cycling speed
= 12 ÷
12 = 12 x
21 = 24 km/h
(b)
Jean's cycling speed
= 24 + 8
= 32 km/h
Answer(s): (a) 24 km/h ; (b) 32 km/h
