At 08 20, Diana left Town F and cycled towards Town G. Xandra left Town F and cycled towards Town G at 08 50. Xandra's cycling speed was 8 km/h faster than Diana. At 10 20, Xandra caught up with Diana. Find the cycling speed of each cyclist.

1. Diana
2. Xandra

(a)
Duration that Xandra cycled from 08 50 to 10 20
= 1³⁰₆₀
= 1¹₂ h

Distance that Xandra cycled more than Diana
= 1¹₂ x 8
= 12 km

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

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

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

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

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