At 08 15, Opal left Town B and cycled towards Town C. Vanessa left Town B and cycled towards Town C at 08 55. Vanessa's cycling speed was 6 km/h faster than Opal. At 11 15, Vanessa caught up with Opal. Find the cycling speed of each cyclist.

1. Opal
2. Vanessa

(a)
Duration that Vanessa cycled from 08 55 to 11 15
= 2²⁰₆₀
= 2¹₃ h

Distance that Vanessa cycled more than Opal
= 2¹₃ x 6
= 14 km

However, since Opal left 40 minutes earlier than Vanessa and Vanessa caught up with Opal, it means that Opal has cycled 14 km in 40 min.

1 h = 60 min 
40 min = 40 ÷ 60 = ²₃ h

Opal's cycling speed
= 14 ÷ ²₃
= 14 x ³₂
= 21 km/h

(b)
Vanessa's cycling speed
= 21 + 6
= 27 km/h

Answer(s): (a) 21 km/h ; (b) 27 km/h