At 09 15, Tiffany left Town M and cycled towards Town N. Elyse left Town M and cycled towards Town N at 09 35. Elyse's cycling speed was 3 km/h faster than Tiffany. At 12 15, Elyse caught up with Tiffany. Find the cycling speed of each cyclist.

1. Tiffany
2. Elyse

(a)
Duration that Elyse cycled from 09 35 to 12 15
= 2⁴⁰₆₀
= 2²₃ h

Distance that Elyse cycled more than Tiffany
= 2²₃ x 3
= 8 km

However, since Tiffany left 20 minutes earlier than Elyse and Elyse caught up with Tiffany, it means that Tiffany has cycled 8 km in 20 min.

1 h = 60 min 
20 min = 20 ÷ 60 = ¹₃ h

Tiffany's cycling speed
= 8 ÷ ¹₃
= 8 x ³₁
= 24 km/h

(b)
Elyse's cycling speed
= 24 + 3
= 27 km/h

Answer(s): (a) 24 km/h ; (b) 27 km/h