At 9 a.m., Neave started from City P and travelled towards City Q and his speed remained constant throughout. At 10 a.m., Nicole started her journey from City P towards City Q at an average speed of 84 km/h. Nicole overtook Neave at 3 p.m. After overtaking, Nicole carried on her journey at the same average speed and reached at City Q at 3:40 p.m.

1. Find Neave'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 Nicole had travelled until Nicole overtook Neave
= 5 x 84
= 420 km

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

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

(b)
From 10 a.m. to 3:40 p.m. = 5 h 40 min

1 h = 60 min
5 h 40 min = 5 ⁴⁰ ₆₀
 h = 5 ²₃ h

Distance between the two cities
= 5 ²₃ x 84
= ¹⁷₃ x 84
= 476 km

Answer(s): (a) 70 km/h; (b) 476 km