At 08 10, Eva left Town Y and cycled towards Town Z. Vanessa left Town Y and cycled towards Town Z at 08 40. Vanessa's cycling speed was 4 km/h faster than Eva. At 13 10, Vanessa caught up with Eva. Find the cycling speed of each cyclist.
- Eva
- Vanessa
(a)
Duration that Vanessa cycled from 08 40 to 13 10
= 4
3060 = 4
12 h
Distance that Vanessa cycled more than Eva
= 4
12 x 4
= 18 km
However, since Eva left 30 minutes earlier than Vanessa and Vanessa caught up with Eva, it means that Eva has cycled 18 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Eva's cycling speed
= 18 ÷
12 = 18 x
21 = 36 km/h
(b)
Vanessa's cycling speed
= 36 + 4
= 40 km/h
Answer(s): (a) 36 km/h ; (b) 40 km/h