At 06 35, Raeann left Town Z and cycled towards Town A. Gillian left Town Z and cycled towards Town A at 06 55. Gillian's cycling speed was 3 km/h faster than Raeann. At 10 35, Gillian caught up with Raeann. Find the cycling speed of each cyclist.

1. Raeann
2. Gillian

(a)
Duration that Gillian cycled from 06 55 to 10 35
= 3⁴⁰₆₀
= 3²₃ h

Distance that Gillian cycled more than Raeann
= 3²₃ x 3
= 11 km

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

1 h = 60 min 
20 min = 20 ÷ 60 = ¹₃ h

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

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

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