At 8 a.m., Ian started from City W and travelled towards City X and his speed remained constant throughout. At 9 a.m., Pamela started her journey from City W towards City X at an average speed of 84 km/h. Pamela overtook Ian at 2 p.m. After overtaking, Pamela carried on her journey at the same average speed and reached at City X at 4:20 p.m.

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

(a)
From 9 a.m. to 2 p.m. = 5 h

Distance that Pamela had travelled until Pamela overtook Ian
= 5 x 84
= 420 km

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

Ian's average speed
= 420 ÷ 6
= 70 km/h

(b)
From 9 a.m. to 4:20 p.m. = 7 h 20 min

1 h = 60 min
7 h 20 min = 7 ²⁰ ₆₀
 h = 7 ¹₃ h

Distance between the two cities
= 7 ¹₃ x 84
= ²²₃ x 84
= 616 km

Answer(s): (a) 70 km/h; (b) 616 km