At 08 10, Raeann left Town N and cycled towards Town P. Gillian left Town N and cycled towards Town P at 08 50. Gillian's cycling speed was 3 km/h faster than Raeann. At 10 10, Gillian caught up with Raeann. Find the cycling speed of each cyclist.

1. Raeann
2. Gillian

(a)
Duration that Gillian cycled from 08 50 to 10 10
= 1²⁰₆₀
= 1¹₃ h

Distance that Gillian cycled more than Raeann
= 1¹₃ x 3
= 4 km

However, since Raeann left 40 minutes earlier than Gillian and Gillian caught up with Raeann, it means that Raeann has cycled 4 km in 40 min.

1 h = 60 min 
40 min = 40 ÷ 60 = ²₃ h

Raeann's cycling speed
= 4 ÷ ²₃
= 4 x ³₂
= 6 km/h

(b)
Gillian's cycling speed
= 6 + 3
= 9 km/h

Answer(s): (a) 6 km/h ; (b) 9 km/h