At 05 25, Penelope left Town P and cycled towards Town Q. Tiffany left Town P and cycled towards Town Q at 05 55. Tiffany's cycling speed was 2 km/h faster than Penelope. At 15 25, Tiffany caught up with Penelope. Find the cycling speed of each cyclist.

1. Penelope
2. Tiffany

(a)
Duration that Tiffany cycled from 05 55 to 15 25
= 9³⁰₆₀
= 9¹₂ h

Distance that Tiffany cycled more than Penelope
= 9¹₂ x 2
= 19 km

However, since Penelope left 30 minutes earlier than Tiffany and Tiffany caught up with Penelope, it means that Penelope has cycled 19 km in 30 min.

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

Penelope's cycling speed
= 19 ÷ ¹₂
= 19 x ²₁
= 38 km/h

(b)
Tiffany's cycling speed
= 38 + 2
= 40 km/h

Answer(s): (a) 38 km/h ; (b) 40 km/h