At 06 15, Fiona left Town G and cycled towards Town H. Gillian left Town G and cycled towards Town H at 06 45. Gillian's cycling speed was 2 km/h faster than Fiona. At 13 15, Gillian caught up with Fiona. Find the cycling speed of each cyclist.

1. Fiona
2. Gillian

(a)
Duration that Gillian cycled from 06 45 to 13 15
= 6³⁰₆₀
= 6¹₂ h

Distance that Gillian cycled more than Fiona
= 6¹₂ x 2
= 13 km

However, since Fiona left 30 minutes earlier than Gillian and Gillian caught up with Fiona, it means that Fiona has cycled 13 km in 30 min.

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

Fiona's cycling speed
= 13 ÷ ¹₂
= 13 x ²₁
= 26 km/h

(b)
Gillian's cycling speed
= 26 + 2
= 28 km/h

Answer(s): (a) 26 km/h ; (b) 28 km/h