At 08 10, Vanessa left Town R and cycled towards Town S. Hilda left Town R and cycled towards Town S at 08 40. Hilda's cycling speed was 4 km/h faster than Vanessa. At 13 10, Hilda caught up with Vanessa. Find the cycling speed of each cyclist.

1. Vanessa
2. Hilda

(a)
Duration that Hilda cycled from 08 40 to 13 10
= 4³⁰₆₀
= 4¹₂ h

Distance that Hilda cycled more than Vanessa
= 4¹₂ x 4
= 18 km

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

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

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

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

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