At 8 a.m., Reggie started from City U and travelled towards City V and his speed remained constant throughout. At 10 a.m., Zara started her journey from City U towards City V at an average speed of 80 km/h. Zara overtook Reggie at 1 p.m. After overtaking, Zara carried on her journey at the same average speed and reached at City V at 1:15 p.m.

1. Find Reggie's average speed in km/h.
2. What is the distance between the two cities?

(a)
From 10 a.m. to 1 p.m. = 3 h

Distance that Zara had travelled until Zara overtook Reggie
= 3 x 80
= 240 km

From 8 a.m. to 1 p.m. = 5 h

Reggie's average speed
= 240 ÷ 5
= 48 km/h

(b)
From 10 a.m. to 1:15 p.m. = 3 h 15 min

1 h = 60 min
3 h 15 min = 3 ¹⁵ ₆₀
 h = 3 ¹₄ h

Distance between the two cities
= 3 ¹₄ x 80
= ¹³₄ x 80
= 260 km

Answer(s): (a) 48 km/h; (b) 260 km