At 08 25, Victoria left Town C and cycled towards Town D. Kathy left Town C and cycled towards Town D at 08 45. Kathy's cycling speed was 3 km/h faster than Victoria. At 10 25, Kathy caught up with Victoria. Find the cycling speed of each cyclist.

1. Victoria
2. Kathy

(a)
Duration that Kathy cycled from 08 45 to 10 25
= 1⁴⁰₆₀
= 1²₃ h

Distance that Kathy cycled more than Victoria
= 1²₃ x 3
= 5 km

However, since Victoria left 20 minutes earlier than Kathy and Kathy caught up with Victoria, it means that Victoria has cycled 5 km in 20 min.

1 h = 60 min 
20 min = 20 ÷ 60 = ¹₃ h

Victoria's cycling speed
= 5 ÷ ¹₃
= 5 x ³₁
= 15 km/h

(b)
Kathy's cycling speed
= 15 + 3
= 18 km/h

Answer(s): (a) 15 km/h ; (b) 18 km/h