At 07 20, Olivia left Town A and cycled towards Town B. Nicole left Town A and cycled towards Town B at 07 50. Nicole's cycling speed was 4 km/h faster than Olivia. At 12 20, Nicole caught up with Olivia. Find the cycling speed of each cyclist.

1. Olivia
2. Nicole

(a)
Duration that Nicole cycled from 07 50 to 12 20
= 4³⁰₆₀
= 4¹₂ h

Distance that Nicole cycled more than Olivia
= 4¹₂ x 4
= 18 km

However, since Olivia left 30 minutes earlier than Nicole and Nicole caught up with Olivia, it means that Olivia has cycled 18 km in 30 min.

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

Olivia's cycling speed
= 18 ÷ ¹₂
= 18 x ²₁
= 36 km/h

(b)
Nicole's cycling speed
= 36 + 4
= 40 km/h

Answer(s): (a) 36 km/h ; (b) 40 km/h