At 08 10, Victoria left Town M and cycled towards Town N. Natalie left Town M and cycled towards Town N at 08 30. Natalie's cycling speed was 6 km/h faster than Victoria. At 10 10, Natalie caught up with Victoria. Find the cycling speed of each cyclist.

1. Victoria
2. Natalie

(a)
Duration that Natalie cycled from 08 30 to 10 10
= 1⁴⁰₆₀
= 1²₃ h

Distance that Natalie cycled more than Victoria
= 1²₃ x 6
= 10 km

However, since Victoria left 20 minutes earlier than Natalie and Natalie caught up with Victoria, it means that Victoria has cycled 10 km in 20 min.

1 h = 60 min 
20 min = 20 ÷ 60 = ¹₃ h

Victoria's cycling speed
= 10 ÷ ¹₃
= 10 x ³₁
= 30 km/h

(b)
Natalie's cycling speed
= 30 + 6
= 36 km/h

Answer(s): (a) 30 km/h ; (b) 36 km/h