At 08 10, Nicole left Town X and cycled towards Town Y. Gillian left Town X and cycled towards Town Y at 08 25. Gillian's cycling speed was 4 km/h faster than Nicole. At 10 10, Gillian caught up with Nicole. Find the cycling speed of each cyclist.

1. Nicole
2. Gillian

(a)
Duration that Gillian cycled from 08 25 to 10 10
= 1⁴⁵₆₀
= 1³₄ h

Distance that Gillian cycled more than Nicole
= 1³₄ x 4
= 7 km

However, since Nicole left 15 minutes earlier than Gillian and Gillian caught up with Nicole, it means that Nicole has cycled 7 km in 15 min.

1 h = 60 min 
15 min = 15 ÷ 60 = ¹₄ h

Nicole's cycling speed
= 7 ÷ ¹₄
= 7 x ⁴₁
= 28 km/h

(b)
Gillian's cycling speed
= 28 + 4
= 32 km/h

Answer(s): (a) 28 km/h ; (b) 32 km/h