At 07 15, Penelope left Town P and cycled towards Town Q. Tina left Town P and cycled towards Town Q at 07 45. Tina's cycling speed was 2 km/h faster than Penelope. At 10 15, Tina caught up with Penelope. Find the cycling speed of each cyclist.

1. Penelope
2. Tina

(a)
Duration that Tina cycled from 07 45 to 10 15
= 2³⁰₆₀
= 2¹₂ h

Distance that Tina cycled more than Penelope
= 2¹₂ x 2
= 5 km

However, since Penelope left 30 minutes earlier than Tina and Tina caught up with Penelope, it means that Penelope has cycled 5 km in 30 min.

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

Penelope's cycling speed
= 5 ÷ ¹₂
= 5 x ²₁
= 10 km/h

(b)
Tina's cycling speed
= 10 + 2
= 12 km/h

Answer(s): (a) 10 km/h ; (b) 12 km/h