At 08 30, Erika left Town U and cycled towards Town V. Olivia left Town U and cycled towards Town V at 08 50. Olivia's cycling speed was 3 km/h faster than Erika. At 12 30, Olivia caught up with Erika. Find the cycling speed of each cyclist.

1. Erika
2. Olivia

(a)
Duration that Olivia cycled from 08 50 to 12 30
= 3⁴⁰₆₀
= 3²₃ h

Distance that Olivia cycled more than Erika
= 3²₃ x 3
= 11 km

However, since Erika left 20 minutes earlier than Olivia and Olivia caught up with Erika, it means that Erika has cycled 11 km in 20 min.

1 h = 60 min 
20 min = 20 ÷ 60 = ¹₃ h

Erika's cycling speed
= 11 ÷ ¹₃
= 11 x ³₁
= 33 km/h

(b)
Olivia's cycling speed
= 33 + 3
= 36 km/h

Answer(s): (a) 33 km/h ; (b) 36 km/h