At 08 10, Tammy left Town S and cycled towards Town T. Vanessa left Town S and cycled towards Town T at 08 25. Vanessa's cycling speed was 4 km/h faster than Tammy. At 10 10, Vanessa caught up with Tammy. Find the cycling speed of each cyclist.

1. Tammy
2. Vanessa

(a)
Duration that Vanessa cycled from 08 25 to 10 10
= 1⁴⁵₆₀
= 1³₄ h

Distance that Vanessa cycled more than Tammy
= 1³₄ x 4
= 7 km

However, since Tammy left 15 minutes earlier than Vanessa and Vanessa caught up with Tammy, it means that Tammy has cycled 7 km in 15 min.

1 h = 60 min 
15 min = 15 ÷ 60 = ¹₄ h

Tammy's cycling speed
= 7 ÷ ¹₄
= 7 x ⁴₁
= 28 km/h

(b)
Vanessa's cycling speed
= 28 + 4
= 32 km/h

Answer(s): (a) 28 km/h ; (b) 32 km/h