At 08 40, Penelope left Town A and cycled towards Town B. Gillian left Town A and cycled towards Town B at 08 55. Gillian's cycling speed was 4 km/h faster than Penelope. At 10 40, Gillian caught up with Penelope. Find the cycling speed of each cyclist.

1. Penelope
2. Gillian

(a)
Duration that Gillian cycled from 08 55 to 10 40
= 1⁴⁵₆₀
= 1³₄ h

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

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

1 h = 60 min 
15 min = 15 ÷ 60 = ¹₄ h

Penelope'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