At 09 20, Julie left Town J and cycled towards Town K. Sabrina left Town J and cycled towards Town K at 09 40. Sabrina's cycling speed was 3 km/h faster than Julie. At 13 20, Sabrina caught up with Julie. Find the cycling speed of each cyclist.

1. Julie
2. Sabrina

(a)
Duration that Sabrina cycled from 09 40 to 13 20
= 3⁴⁰₆₀
= 3²₃ h

Distance that Sabrina cycled more than Julie
= 3²₃ x 3
= 11 km

However, since Julie left 20 minutes earlier than Sabrina and Sabrina caught up with Julie, it means that Julie has cycled 11 km in 20 min.

1 h = 60 min 
20 min = 20 ÷ 60 = ¹₃ h

Julie's cycling speed
= 11 ÷ ¹₃
= 11 x ³₁
= 33 km/h

(b)
Sabrina's cycling speed
= 33 + 3
= 36 km/h

Answer(s): (a) 33 km/h ; (b) 36 km/h