At 8 a.m., Julian started from City M and travelled towards City N and his speed remained constant throughout. At 10 a.m., Xandra started her journey from City M towards City N at an average speed of 90 km/h. Xandra overtook Julian at 2 p.m. After overtaking, Xandra carried on her journey at the same average speed and reached at City N at 3:30 p.m.

1. Find Julian'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 Xandra had travelled until Xandra overtook Julian
= 4 x 90
= 360 km

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

Julian's average speed
= 360 ÷ 6
= 60 km/h

(b)
From 10 a.m. to 3:30 p.m. = 5 h 30 min

1 h = 60 min
5 h 30 min = 5 ³⁰ ₆₀
 h = 5 ¹₂ h

Distance between the two cities
= 5 ¹₂ x 90
= ¹¹₂ x 90
= 495 km

Answer(s): (a) 60 km/h; (b) 495 km