At 09 25, Penelope left Town S and cycled towards Town T. Vanessa left Town S and cycled towards Town T at 09 55. Vanessa's cycling speed was 8 km/h faster than Penelope. At 11 25, Vanessa caught up with Penelope. Find the cycling speed of each cyclist.

1. Penelope
2. Vanessa

(a)
Duration that Vanessa cycled from 09 55 to 11 25
= 1³⁰₆₀
= 1¹₂ h

Distance that Vanessa cycled more than Penelope
= 1¹₂ x 8
= 12 km

However, since Penelope left 30 minutes earlier than Vanessa and Vanessa caught up with Penelope, it means that Penelope has cycled 12 km in 30 min.

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

Penelope's cycling speed
= 12 ÷ ¹₂
= 12 x ²₁
= 24 km/h

(b)
Vanessa's cycling speed
= 24 + 8
= 32 km/h

Answer(s): (a) 24 km/h ; (b) 32 km/h