At 05 25, Tammy left Town X and cycled towards Town Y. Barbara left Town X and cycled towards Town Y at 05 55. Barbara's cycling speed was 2 km/h faster than Tammy. At 14 25, Barbara caught up with Tammy. Find the cycling speed of each cyclist.

1. Tammy
2. Barbara

(a)
Duration that Barbara cycled from 05 55 to 14 25
= 8³⁰₆₀
= 8¹₂ h

Distance that Barbara cycled more than Tammy
= 8¹₂ x 2
= 17 km

However, since Tammy left 30 minutes earlier than Barbara and Barbara caught up with Tammy, it means that Tammy has cycled 17 km in 30 min.

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

Tammy's cycling speed
= 17 ÷ ¹₂
= 17 x ²₁
= 34 km/h

(b)
Barbara's cycling speed
= 34 + 2
= 36 km/h

Answer(s): (a) 34 km/h ; (b) 36 km/h