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

1. Penelope
2. Nora

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

Distance that Nora cycled more than Penelope
= 5¹₄ x 4
= 21 km

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

1 h = 60 min 
45 min = 45 ÷ 60 = ³₄ h

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

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

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