At 8 a.m., Gabriel started from City U and travelled towards City V and his speed remained constant throughout. At 9 a.m., Fiona started her journey from City U towards City V at an average speed of 75 km/h. Fiona overtook Gabriel at 1 p.m. After overtaking, Fiona carried on her journey at the same average speed and reached at City V at 6:20 p.m.

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

(a)
From 9 a.m. to 1 p.m. = 4 h

Distance that Fiona had travelled until Fiona overtook Gabriel
= 4 x 75
= 300 km

From 8 a.m. to 1 p.m. = 5 h

Gabriel's average speed
= 300 ÷ 5
= 60 km/h

(b)
From 9 a.m. to 6:20 p.m. = 9 h 20 min

1 h = 60 min
9 h 20 min = 9 ²⁰ ₆₀
 h = 9 ¹₃ h

Distance between the two cities
= 9 ¹₃ x 75
= ²⁸₃ x 75
= 700 km

Answer(s): (a) 60 km/h; (b) 700 km