At 06 10, Nora left Town E and cycled towards Town F. Natalie left Town E and cycled towards Town F at 06 40. Natalie's cycling speed was 2 km/h faster than Nora. At 15 10, Natalie caught up with Nora. Find the cycling speed of each cyclist.

1. Nora
2. Natalie

(a)
Duration that Natalie cycled from 06 40 to 15 10
= 8³⁰₆₀
= 8¹₂ h

Distance that Natalie cycled more than Nora
= 8¹₂ x 2
= 17 km

However, since Nora left 30 minutes earlier than Natalie and Natalie caught up with Nora, it means that Nora has cycled 17 km in 30 min.

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

Nora's cycling speed
= 17 ÷ ¹₂
= 17 x ²₁
= 34 km/h

(b)
Natalie's cycling speed
= 34 + 2
= 36 km/h

Answer(s): (a) 34 km/h ; (b) 36 km/h