At 7 a.m., Simon started from City K and travelled towards City L and his speed remained constant throughout. At 10 a.m., Ivory started her journey from City K towards City L at an average speed of 70 km/h. Ivory overtook Simon at 1 p.m. After overtaking, Ivory carried on her journey at the same average speed and reached at City L at 2:30 p.m.

1. Find Simon'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 Ivory had travelled until Ivory overtook Simon
= 3 x 70
= 210 km

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

Simon's average speed
= 210 ÷ 6
= 35 km/h

(b)
From 10 a.m. to 2:30 p.m. = 4 h 30 min

1 h = 60 min
4 h 30 min = 4 ³⁰ ₆₀
 h = 4 ¹₂ h

Distance between the two cities
= 4 ¹₂ x 70
= ⁹₂ x 70
= 315 km

Answer(s): (a) 35 km/h; (b) 315 km