At 09 10, Anna left Town N and cycled towards Town P. Nicole left Town N and cycled towards Town P at 09 40. Nicole's cycling speed was 4 km/h faster than Anna. At 11 10, Nicole caught up with Anna. Find the cycling speed of each cyclist.
- Anna
- Nicole
(a)
Duration that Nicole cycled from 09 40 to 11 10
= 1
3060 = 1
12 h
Distance that Nicole cycled more than Anna
= 1
12 x 4
= 6 km
However, since Anna left 30 minutes earlier than Nicole and Nicole caught up with Anna, it means that Anna has cycled 6 km in 30 min.
1 h = 60 min
30 min = 30 ÷ 60 =
12 h
Anna's cycling speed
= 6 ÷
12 = 6 x
21 = 12 km/h
(b)
Nicole's cycling speed
= 12 + 4
= 16 km/h
Answer(s): (a) 12 km/h ; (b) 16 km/h
