At 08 10, Cindy left Town W and cycled towards Town X. Gillian left Town W and cycled towards Town X at 08 55. Gillian's cycling speed was 4 km/h faster than Cindy. At 14 10, Gillian caught up with Cindy. Find the cycling speed of each cyclist.

1. Cindy
2. Gillian

(a)
Duration that Gillian cycled from 08 55 to 14 10
= 5¹⁵₆₀
= 5¹₄ h

Distance that Gillian cycled more than Cindy
= 5¹₄ x 4
= 21 km

However, since Cindy left 45 minutes earlier than Gillian and Gillian caught up with Cindy, it means that Cindy has cycled 21 km in 45 min.

1 h = 60 min 
45 min = 45 ÷ 60 = ³₄ h

Cindy's cycling speed
= 21 ÷ ³₄
= 21 x ⁴₃
= 28 km/h

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

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