At 05 20, Vanessa left Town B and cycled towards Town C. Emma left Town B and cycled towards Town C at 05 50. Emma's cycling speed was 4 km/h faster than Vanessa. At 10 20, Emma caught up with Vanessa. Find the cycling speed of each cyclist.

1. Vanessa
2. Emma

(a)
Duration that Emma cycled from 05 50 to 10 20
= 4³⁰₆₀
= 4¹₂ h

Distance that Emma cycled more than Vanessa
= 4¹₂ x 4
= 18 km

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

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

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

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

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