At 09 10, Winnie left Town S and cycled towards Town T. Gillian left Town S and cycled towards Town T at 09 40. Gillian's cycling speed was 10 km/h faster than Winnie. At 11 10, Gillian caught up with Winnie. Find the cycling speed of each cyclist.

1. Winnie
2. Gillian

(a)
Duration that Gillian cycled from 09 40 to 11 10
= 1³⁰₆₀
= 1¹₂ h

Distance that Gillian cycled more than Winnie
= 1¹₂ x 10
= 15 km

However, since Winnie left 30 minutes earlier than Gillian and Gillian caught up with Winnie, it means that Winnie has cycled 15 km in 30 min.

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

Winnie's cycling speed
= 15 ÷ ¹₂
= 15 x ²₁
= 30 km/h

(b)
Gillian's cycling speed
= 30 + 10
= 40 km/h

Answer(s): (a) 30 km/h ; (b) 40 km/h