At 07 20, Linda left Town Z and cycled towards Town A. Xandra left Town Z and cycled towards Town A at 07 50. Xandra's cycling speed was 2 km/h faster than Linda. At 14 20, Xandra caught up with Linda. Find the cycling speed of each cyclist.

1. Linda
2. Xandra

(a)
Duration that Xandra cycled from 07 50 to 14 20
= 6³⁰₆₀
= 6¹₂ h

Distance that Xandra cycled more than Linda
= 6¹₂ x 2
= 13 km

However, since Linda left 30 minutes earlier than Xandra and Xandra caught up with Linda, it means that Linda has cycled 13 km in 30 min.

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

Linda's cycling speed
= 13 ÷ ¹₂
= 13 x ²₁
= 26 km/h

(b)
Xandra's cycling speed
= 26 + 2
= 28 km/h

Answer(s): (a) 26 km/h ; (b) 28 km/h