At 09 10, Kathy left Town A and cycled towards Town B. Vanessa left Town A and cycled towards Town B at 09 55. Vanessa's cycling speed was 4 km/h faster than Kathy. At 12 10, Vanessa caught up with Kathy. Find the cycling speed of each cyclist.

1. Kathy
2. Vanessa

(a)
Duration that Vanessa cycled from 09 55 to 12 10
= 2¹⁵₆₀
= 2¹₄ h

Distance that Vanessa cycled more than Kathy
= 2¹₄ x 4
= 9 km

However, since Kathy left 45 minutes earlier than Vanessa and Vanessa caught up with Kathy, it means that Kathy has cycled 9 km in 45 min.

1 h = 60 min 
45 min = 45 ÷ 60 = ³₄ h

Kathy's cycling speed
= 9 ÷ ³₄
= 9 x ⁴₃
= 12 km/h

(b)
Vanessa's cycling speed
= 12 + 4
= 16 km/h

Answer(s): (a) 12 km/h ; (b) 16 km/h