At 09 15, Natalie left Town V and cycled towards Town W. Lynn left Town V and cycled towards Town W at 09 35. Lynn's cycling speed was 6 km/h faster than Natalie. At 11 15, Lynn caught up with Natalie. Find the cycling speed of each cyclist.

1. Natalie
2. Lynn

(a)
Duration that Lynn cycled from 09 35 to 11 15
= 1⁴⁰₆₀
= 1²₃ h

Distance that Lynn cycled more than Natalie
= 1²₃ x 6
= 10 km

However, since Natalie left 20 minutes earlier than Lynn and Lynn caught up with Natalie, it means that Natalie has cycled 10 km in 20 min.

1 h = 60 min 
20 min = 20 ÷ 60 = ¹₃ h

Natalie's cycling speed
= 10 ÷ ¹₃
= 10 x ³₁
= 30 km/h

(b)
Lynn's cycling speed
= 30 + 6
= 36 km/h

Answer(s): (a) 30 km/h ; (b) 36 km/h