At 07 25, Nicole left Town K and cycled towards Town L. Shannon left Town K and cycled towards Town L at 07 55. Shannon's cycling speed was 2 km/h faster than Nicole. At 13 25, Shannon caught up with Nicole. Find the cycling speed of each cyclist.
- Nicole
- Shannon
(a)
Duration that Shannon cycled from 07 55 to 13 25
= 5
3060 = 5
12 h
Distance that Shannon cycled more than Nicole
= 5
12 x 2
= 11 km
However, since Nicole left 30 minutes earlier than Shannon and Shannon 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)
Shannon's cycling speed
= 22 + 2
= 24 km/h
Answer(s): (a) 22 km/h ; (b) 24 km/h