At 07 15, Roshel left Town J and cycled towards Town K. Anna left Town J and cycled towards Town K at 07 35. Anna's cycling speed was 3 km/h faster than Roshel. At 10 15, Anna caught up with Roshel. Find the cycling speed of each cyclist.
- Roshel
- Anna
(a)
Duration that Anna cycled from 07 35 to 10 15
= 2
4060 = 2
23 h
Distance that Anna cycled more than Roshel
= 2
23 x 3
= 8 km
However, since Roshel left 20 minutes earlier than Anna and Anna caught up with Roshel, it means that Roshel has cycled 8 km in 20 min.
1 h = 60 min
20 min = 20 ÷ 60 =
13 h
Roshel's cycling speed
= 8 ÷
13 = 8 x
31 = 24 km/h
(b)
Anna's cycling speed
= 24 + 3
= 27 km/h
Answer(s): (a) 24 km/h ; (b) 27 km/h
