At 7 a.m., Valen started from City E and travelled towards City F and his speed remained constant throughout. At 8 a.m., Olivia started her journey from City E towards City F at an average speed of 66 km/h. Olivia overtook Valen at 1 p.m. After overtaking, Olivia carried on her journey at the same average speed and reached at City F at 5:50 p.m.

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

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

Distance that Olivia had travelled until Olivia overtook Valen
= 5 x 66
= 330 km

From 7 a.m. to 1 p.m. = 6 h

Valen's average speed
= 330 ÷ 6
= 55 km/h

(b)
From 8 a.m. to 5:50 p.m. = 9 h 50 min

1 h = 60 min
9 h 50 min = 9 ⁵⁰ ₆₀
 h = 9 ⁵₆ h

Distance between the two cities
= 9 ⁵₆ x 66
= ⁵⁹₆ x 66
= 649 km

Answer(s): (a) 55 km/h; (b) 649 km