At 05 15, Joelle left Town V and cycled towards Town W. Diana left Town V and cycled towards Town W at 05 55. Diana's cycling speed was 3 km/h faster than Joelle. At 11 15, Diana caught up with Joelle. Find the cycling speed of each cyclist.

1. Joelle
2. Diana

(a)
Duration that Diana cycled from 05 55 to 11 15
= 5²⁰₆₀
= 5¹₃ h

Distance that Diana cycled more than Joelle
= 5¹₃ x 3
= 16 km

However, since Joelle left 40 minutes earlier than Diana and Diana caught up with Joelle, it means that Joelle has cycled 16 km in 40 min.

1 h = 60 min 
40 min = 40 ÷ 60 = ²₃ h

Joelle's cycling speed
= 16 ÷ ²₃
= 16 x ³₂
= 24 km/h

(b)
Diana's cycling speed
= 24 + 3
= 27 km/h

Answer(s): (a) 24 km/h ; (b) 27 km/h