At 09 25, Fiona left Town W and cycled towards Town X. Vanessa left Town W and cycled towards Town X at 09 45. Vanessa's cycling speed was 6 km/h faster than Fiona. At 11 25, Vanessa caught up with Fiona. Find the cycling speed of each cyclist.

1. Fiona
2. Vanessa

(a)
Duration that Vanessa cycled from 09 45 to 11 25
= 1⁴⁰₆₀
= 1²₃ h

Distance that Vanessa cycled more than Fiona
= 1²₃ x 6
= 10 km

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

1 h = 60 min 
20 min = 20 ÷ 60 = ¹₃ h

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

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

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