At 09 10, Hilda left Town N and cycled towards Town P. Barbara left Town N and cycled towards Town P at 09 50. Barbara's cycling speed was 3 km/h faster than Hilda. At 15 10, Barbara caught up with Hilda. Find the cycling speed of each cyclist.

1. Hilda
2. Barbara

(a)
Duration that Barbara cycled from 09 50 to 15 10
= 5²⁰₆₀
= 5¹₃ h

Distance that Barbara cycled more than Hilda
= 5¹₃ x 3
= 16 km

However, since Hilda left 40 minutes earlier than Barbara and Barbara caught up with Hilda, it means that Hilda has cycled 16 km in 40 min.

1 h = 60 min 
40 min = 40 ÷ 60 = ²₃ h

Hilda's cycling speed
= 16 ÷ ²₃
= 16 x ³₂
= 24 km/h

(b)
Barbara's cycling speed
= 24 + 3
= 27 km/h

Answer(s): (a) 24 km/h ; (b) 27 km/h