At 09 15, Emily left Town A and cycled towards Town B. Xandra left Town A and cycled towards Town B at 09 55. Xandra's cycling speed was 3 km/h faster than Emily. At 13 15, Xandra caught up with Emily. Find the cycling speed of each cyclist.

1. Emily
2. Xandra

(a)
Duration that Xandra cycled from 09 55 to 13 15
= 3²⁰₆₀
= 3¹₃ h

Distance that Xandra cycled more than Emily
= 3¹₃ x 3
= 10 km

However, since Emily left 40 minutes earlier than Xandra and Xandra caught up with Emily, it means that Emily has cycled 10 km in 40 min.

1 h = 60 min 
40 min = 40 ÷ 60 = ²₃ h

Emily's cycling speed
= 10 ÷ ²₃
= 10 x ³₂
= 15 km/h

(b)
Xandra's cycling speed
= 15 + 3
= 18 km/h

Answer(s): (a) 15 km/h ; (b) 18 km/h