At 07 10, Barbara left Town L and cycled towards Town M. Hilda left Town L and cycled towards Town M at 07 40. Hilda's cycling speed was 2 km/h faster than Barbara. At 11 10, Hilda caught up with Barbara. Find the cycling speed of each cyclist.

1. Barbara
2. Hilda

(a)
Duration that Hilda cycled from 07 40 to 11 10
= 3³⁰₆₀
= 3¹₂ h

Distance that Hilda cycled more than Barbara
= 3¹₂ x 2
= 7 km

However, since Barbara left 30 minutes earlier than Hilda and Hilda caught up with Barbara, it means that Barbara has cycled 7 km in 30 min.

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

Barbara's cycling speed
= 7 ÷ ¹₂
= 7 x ²₁
= 14 km/h

(b)
Hilda's cycling speed
= 14 + 2
= 16 km/h

Answer(s): (a) 14 km/h ; (b) 16 km/h