At 06 20, Shannon left Town V and cycled towards Town W. Olivia left Town V and cycled towards Town W at 06 50. Olivia's cycling speed was 2 km/h faster than Shannon. At 12 20, Olivia caught up with Shannon. Find the cycling speed of each cyclist.

1. Shannon
2. Olivia

(a)
Duration that Olivia cycled from 06 50 to 12 20
= 5³⁰₆₀
= 5¹₂ h

Distance that Olivia cycled more than Shannon
= 5¹₂ x 2
= 11 km

However, since Shannon left 30 minutes earlier than Olivia and Olivia caught up with Shannon, it means that Shannon has cycled 11 km in 30 min.

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

Shannon's cycling speed
= 11 ÷ ¹₂
= 11 x ²₁
= 22 km/h

(b)
Olivia's cycling speed
= 22 + 2
= 24 km/h

Answer(s): (a) 22 km/h ; (b) 24 km/h