At 07 10, Joelle left Town R and cycled towards Town S. Fiona left Town R and cycled towards Town S at 07 50. Fiona's cycling speed was 3 km/h faster than Joelle. At 15 10, Fiona caught up with Joelle. Find the cycling speed of each cyclist.

1. Joelle
2. Fiona

(a)
Duration that Fiona cycled from 07 50 to 15 10
= 7²⁰₆₀
= 7¹₃ h

Distance that Fiona cycled more than Joelle
= 7¹₃ x 3
= 22 km

However, since Joelle left 40 minutes earlier than Fiona and Fiona caught up with Joelle, it means that Joelle has cycled 22 km in 40 min.

1 h = 60 min 
40 min = 40 ÷ 60 = ²₃ h

Joelle's cycling speed
= 22 ÷ ²₃
= 22 x ³₂
= 33 km/h

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

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