At 05 15, Vanessa left Town J and cycled towards Town K. Roshel left Town J and cycled towards Town K at 05 45. Roshel's cycling speed was 2 km/h faster than Vanessa. At 14 15, Roshel caught up with Vanessa. Find the cycling speed of each cyclist.

1. Vanessa
2. Roshel

(a)
Duration that Roshel cycled from 05 45 to 14 15
= 8³⁰₆₀
= 8¹₂ h

Distance that Roshel cycled more than Vanessa
= 8¹₂ x 2
= 17 km

However, since Vanessa left 30 minutes earlier than Roshel and Roshel caught up with Vanessa, it means that Vanessa has cycled 17 km in 30 min.

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

Vanessa's cycling speed
= 17 ÷ ¹₂
= 17 x ²₁
= 34 km/h

(b)
Roshel's cycling speed
= 34 + 2
= 36 km/h

Answer(s): (a) 34 km/h ; (b) 36 km/h