At 08 25, Elyse left Town P and cycled towards Town Q. Gillian left Town P and cycled towards Town Q at 08 55. Gillian's cycling speed was 2 km/h faster than Elyse. At 14 25, Gillian caught up with Elyse. Find the cycling speed of each cyclist.

1. Elyse
2. Gillian

(a)
Duration that Gillian cycled from 08 55 to 14 25
= 5³⁰₆₀
= 5¹₂ h

Distance that Gillian cycled more than Elyse
= 5¹₂ x 2
= 11 km

However, since Elyse left 30 minutes earlier than Gillian and Gillian caught up with Elyse, it means that Elyse has cycled 11 km in 30 min.

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

Elyse's cycling speed
= 11 ÷ ¹₂
= 11 x ²₁
= 22 km/h

(b)
Gillian's cycling speed
= 22 + 2
= 24 km/h

Answer(s): (a) 22 km/h ; (b) 24 km/h