At 08 30, Tiffany left Town J and cycled towards Town K. Yoko left Town J and cycled towards Town K at 08 50. Yoko's cycling speed was 6 km/h faster than Tiffany. At 10 30, Yoko caught up with Tiffany. Find the cycling speed of each cyclist.

1. Tiffany
2. Yoko

(a)
Duration that Yoko cycled from 08 50 to 10 30
= 1⁴⁰₆₀
= 1²₃ h

Distance that Yoko cycled more than Tiffany
= 1²₃ x 6
= 10 km

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

1 h = 60 min 
20 min = 20 ÷ 60 = ¹₃ h

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

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

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