At 08 20, Nicole left Town L and cycled towards Town M. Ivory left Town L and cycled towards Town M at 08 50. Ivory's cycling speed was 4 km/h faster than Nicole. At 13 20, Ivory caught up with Nicole. Find the cycling speed of each cyclist.

1. Nicole
2. Ivory

(a)
Duration that Ivory cycled from 08 50 to 13 20
= 4³⁰₆₀
= 4¹₂ h

Distance that Ivory cycled more than Nicole
= 4¹₂ x 4
= 18 km

However, since Nicole left 30 minutes earlier than Ivory and Ivory caught up with Nicole, it means that Nicole has cycled 18 km in 30 min.

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

Nicole's cycling speed
= 18 ÷ ¹₂
= 18 x ²₁
= 36 km/h

(b)
Ivory's cycling speed
= 36 + 4
= 40 km/h

Answer(s): (a) 36 km/h ; (b) 40 km/h