At 7 a.m., Glen started from City D and travelled towards City E and his speed remained constant throughout. At 10 a.m., Fanny started her journey from City D towards City E at an average speed of 68 km/h. Fanny overtook Glen at 1 p.m. After overtaking, Fanny carried on her journey at the same average speed and reached at City E at 4:30 p.m.

1. Find Glen'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 Fanny had travelled until Fanny overtook Glen
= 3 x 68
= 204 km

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

Glen's average speed
= 204 ÷ 6
= 34 km/h

(b)
From 10 a.m. to 4:30 p.m. = 6 h 30 min

1 h = 60 min
6 h 30 min = 6 ³⁰ ₆₀
 h = 6 ¹₂ h

Distance between the two cities
= 6 ¹₂ x 68
= ¹³₂ x 68
= 442 km

Answer(s): (a) 34 km/h; (b) 442 km