At 08 25, Rachel left Town J and cycled towards Town K. Emily left Town J and cycled towards Town K at 08 55. Emily's cycling speed was 8 km/h faster than Rachel. At 10 25, Emily caught up with Rachel. Find the cycling speed of each cyclist.

1. Rachel
2. Emily

(a)
Duration that Emily cycled from 08 55 to 10 25
= 1³⁰₆₀
= 1¹₂ h

Distance that Emily cycled more than Rachel
= 1¹₂ x 8
= 12 km

However, since Rachel left 30 minutes earlier than Emily and Emily caught up with Rachel, it means that Rachel has cycled 12 km in 30 min.

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

Rachel's cycling speed
= 12 ÷ ¹₂
= 12 x ²₁
= 24 km/h

(b)
Emily's cycling speed
= 24 + 8
= 32 km/h

Answer(s): (a) 24 km/h ; (b) 32 km/h