At 7 a.m., Vincent started from City N and travelled towards City P and his speed remained constant throughout. At 9 a.m., Fiona started her journey from City N towards City P at an average speed of 66 km/h. Fiona overtook Vincent at 1 p.m. After overtaking, Fiona carried on her journey at the same average speed and reached at City P at 3:40 p.m.

1. Find Vincent'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 Vincent
= 4 x 66
= 264 km

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

Vincent's average speed
= 264 ÷ 6
= 44 km/h

(b)
From 9 a.m. to 3:40 p.m. = 6 h 40 min

1 h = 60 min
6 h 40 min = 6 ⁴⁰ ₆₀
 h = 6 ²₃ h

Distance between the two cities
= 6 ²₃ x 66
= ²⁰₃ x 66
= 440 km

Answer(s): (a) 44 km/h; (b) 440 km