At 09 10, Roshel left Town G and cycled towards Town H. Victoria left Town G and cycled towards Town H at 09 50. Victoria's cycling speed was 9 km/h faster than Roshel. At 11 10, Victoria caught up with Roshel. Find the cycling speed of each cyclist.

1. Roshel
2. Victoria

(a)
Duration that Victoria cycled from 09 50 to 11 10
= 1²⁰₆₀
= 1¹₃ h

Distance that Victoria cycled more than Roshel
= 1¹₃ x 9
= 12 km

However, since Roshel left 40 minutes earlier than Victoria and Victoria caught up with Roshel, it means that Roshel has cycled 12 km in 40 min.

1 h = 60 min 
40 min = 40 ÷ 60 = ²₃ h

Roshel's cycling speed
= 12 ÷ ²₃
= 12 x ³₂
= 18 km/h

(b)
Victoria's cycling speed
= 18 + 9
= 27 km/h

Answer(s): (a) 18 km/h ; (b) 27 km/h