At 09 15, Olivia left Town G and cycled towards Town H. Winnie left Town G and cycled towards Town H at 09 45. Winnie's cycling speed was 4 km/h faster than Olivia. At 14 15, Winnie caught up with Olivia. Find the cycling speed of each cyclist.

1. Olivia
2. Winnie

(a)
Duration that Winnie cycled from 09 45 to 14 15
= 4³⁰₆₀
= 4¹₂ h

Distance that Winnie cycled more than Olivia
= 4¹₂ x 4
= 18 km

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

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

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

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

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