At 07 30, Erika left Town G and cycled towards Town H. Natalie left Town G and cycled towards Town H at 07 50. Natalie's cycling speed was 3 km/h faster than Erika. At 10 30, Natalie caught up with Erika. Find the cycling speed of each cyclist.

1. Erika
2. Natalie

(a)
Duration that Natalie cycled from 07 50 to 10 30
= 2⁴⁰₆₀
= 2²₃ h

Distance that Natalie cycled more than Erika
= 2²₃ x 3
= 8 km

However, since Erika left 20 minutes earlier than Natalie and Natalie caught up with Erika, it means that Erika has cycled 8 km in 20 min.

1 h = 60 min 
20 min = 20 ÷ 60 = ¹₃ h

Erika's cycling speed
= 8 ÷ ¹₃
= 8 x ³₁
= 24 km/h

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

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