At 7 a.m., Glen started from City P and travelled towards City Q and his speed remained constant throughout. At 9 a.m., Winnie started her journey from City P towards City Q at an average speed of 69 km/h. Winnie overtook Glen at 1 p.m. After overtaking, Winnie carried on her journey at the same average speed and reached at City Q at 6:40 p.m.

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

(a)
From 9 a.m. to 1 p.m. = 4 h

Distance that Winnie had travelled until Winnie overtook Glen
= 4 x 69
= 276 km

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

Glen's average speed
= 276 ÷ 6
= 46 km/h

(b)
From 9 a.m. to 6:40 p.m. = 9 h 40 min

1 h = 60 min
9 h 40 min = 9 ⁴⁰ ₆₀
 h = 9 ²₃ h

Distance between the two cities
= 9 ²₃ x 69
= ²⁹₃ x 69
= 667 km

Answer(s): (a) 46 km/h; (b) 667 km