At 8 a.m., Nick started from City B and travelled towards City C and his speed remained constant throughout. At 9 a.m., Emma started her journey from City B towards City C at an average speed of 84 km/h. Emma overtook Nick at 2 p.m. After overtaking, Emma carried on her journey at the same average speed and reached at City C at 1:20 p.m.

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

(a)
From 9 a.m. to 2 p.m. = 5 h

Distance that Emma had travelled until Emma overtook Nick
= 5 x 84
= 420 km

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

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

(b)
From 9 a.m. to 1:20 p.m. = 4 h 20 min

1 h = 60 min
4 h 20 min = 4 ²⁰ ₆₀
 h = 4 ¹₃ h

Distance between the two cities
= 4 ¹₃ x 84
= ¹³₃ x 84
= 364 km

Answer(s): (a) 70 km/h; (b) 364 km