At 09 10, Vanessa left Town K and cycled towards Town L. Jane left Town K and cycled towards Town L at 09 40. Jane's cycling speed was 2 km/h faster than Vanessa. At 14 10, Jane caught up with Vanessa. Find the cycling speed of each cyclist.
- Vanessa
- Jane
(a)
Duration that Jane cycled from 09 40 to 14 10
= 4
3060 = 4
12 h
Distance that Jane cycled more than Vanessa
= 4
12 x 2
= 9 km
However, since Vanessa left 30 minutes earlier than Jane and Jane caught up with Vanessa, it means that Vanessa has cycled 9 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Vanessa's cycling speed
= 9 ÷
12 = 9 x
21 = 18 km/h
(b)
Jane's cycling speed
= 18 + 2
= 20 km/h
Answer(s): (a) 18 km/h ; (b) 20 km/h
