At 9 a.m., Fabian started from City P and travelled towards City Q and his speed remained constant throughout. At 10 a.m., Barbara started her journey from City P towards City Q at an average speed of 72 km/h. Barbara overtook Fabian at 3 p.m. After overtaking, Barbara carried on her journey at the same average speed and reached at City Q at 1:15 p.m.

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

(a)
From 10 a.m. to 3 p.m. = 5 h

Distance that Barbara had travelled until Barbara overtook Fabian
= 5 x 72
= 360 km

From 9 a.m. to 3 p.m. = 6 h

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

(b)
From 10 a.m. to 1:15 p.m. = 3 h 15 min

1 h = 60 min
3 h 15 min = 3 ¹⁵ ₆₀
 h = 3 ¹₄ h

Distance between the two cities
= 3 ¹₄ x 72
= ¹³₄ x 72
= 234 km

Answer(s): (a) 60 km/h; (b) 234 km