At 09 20, Nicole left Town J and cycled towards Town K. Eva left Town J and cycled towards Town K at 09 50. Eva's cycling speed was 2 km/h faster than Nicole. At 15 20, Eva caught up with Nicole. Find the cycling speed of each cyclist.
- Nicole
- Eva
(a)
Duration that Eva cycled from 09 50 to 15 20
= 5
3060 = 5
12 h
Distance that Eva cycled more than Nicole
= 5
12 x 2
= 11 km
However, since Nicole left 30 minutes earlier than Eva and Eva caught up with Nicole, it means that Nicole has cycled 11 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Nicole's cycling speed
= 11 ÷
12 = 11 x
21 = 22 km/h
(b)
Eva's cycling speed
= 22 + 2
= 24 km/h
Answer(s): (a) 22 km/h ; (b) 24 km/h