At 07 25, Irene left Town A and cycled towards Town B. Raeann left Town A and cycled towards Town B at 07 55. Raeann's cycling speed was 2 km/h faster than Irene. At 15 25, Raeann caught up with Irene. Find the cycling speed of each cyclist.

1. Irene
2. Raeann

(a)
Duration that Raeann cycled from 07 55 to 15 25
= 7³⁰₆₀
= 7¹₂ h

Distance that Raeann cycled more than Irene
= 7¹₂ x 2
= 15 km

However, since Irene left 30 minutes earlier than Raeann and Raeann caught up with Irene, it means that Irene has cycled 15 km in 30 min.

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

Irene's cycling speed
= 15 ÷ ¹₂
= 15 x ²₁
= 30 km/h

(b)
Raeann's cycling speed
= 30 + 2
= 32 km/h

Answer(s): (a) 30 km/h ; (b) 32 km/h