At 07 15, Barbara left Town E and cycled towards Town F. Fanny left Town E and cycled towards Town F at 07 45. Fanny's cycling speed was 2 km/h faster than Barbara. At 13 15, Fanny caught up with Barbara. Find the cycling speed of each cyclist.

1. Barbara
2. Fanny

(a)
Duration that Fanny cycled from 07 45 to 13 15
= 5³⁰₆₀
= 5¹₂ h

Distance that Fanny cycled more than Barbara
= 5¹₂ x 2
= 11 km

However, since Barbara left 30 minutes earlier than Fanny and Fanny caught up with Barbara, it means that Barbara has cycled 11 km in 30 min.

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

Barbara's cycling speed
= 11 ÷ ¹₂
= 11 x ²₁
= 22 km/h

(b)
Fanny's cycling speed
= 22 + 2
= 24 km/h

Answer(s): (a) 22 km/h ; (b) 24 km/h