At 07 35, Jean left Town F and cycled towards Town G. Gillian left Town F and cycled towards Town G at 07 55. Gillian's cycling speed was 3 km/h faster than Jean. At 11 35, Gillian caught up with Jean. Find the cycling speed of each cyclist.

1. Jean
2. Gillian

(a)
Duration that Gillian cycled from 07 55 to 11 35
= 3⁴⁰₆₀
= 3²₃ h

Distance that Gillian cycled more than Jean
= 3²₃ x 3
= 11 km

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

1 h = 60 min 
20 min = 20 ÷ 60 = ¹₃ h

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

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

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