At 8 a.m., Liam started from City Q and travelled towards City R and his speed remained constant throughout. At 10 a.m., Victoria started her journey from City Q towards City R at an average speed of 78 km/h. Victoria overtook Liam at 2 p.m. After overtaking, Victoria carried on her journey at the same average speed and reached at City R at 1:20 p.m.

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

(a)
From 10 a.m. to 2 p.m. = 4 h

Distance that Victoria had travelled until Victoria overtook Liam
= 4 x 78
= 312 km

From 8 a.m. to 2 p.m. = 6 h

Liam's average speed
= 312 ÷ 6
= 52 km/h

(b)
From 10 a.m. to 1:20 p.m. = 3 h 20 min

1 h = 60 min
3 h 20 min = 3 ²⁰ ₆₀
 h = 3 ¹₃ h

Distance between the two cities
= 3 ¹₃ x 78
= ¹⁰₃ x 78
= 260 km

Answer(s): (a) 52 km/h; (b) 260 km