At 9 a.m., Caden started from City F and travelled towards City G and his speed remained constant throughout. At 10 a.m., Kylie started her journey from City F towards City G at an average speed of 84 km/h. Kylie overtook Caden at 3 p.m. After overtaking, Kylie carried on her journey at the same average speed and reached at City G at 6:20 p.m.

1. Find Caden'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 Kylie had travelled until Kylie overtook Caden
= 5 x 84
= 420 km

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

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

(b)
From 10 a.m. to 6:20 p.m. = 8 h 20 min

1 h = 60 min
8 h 20 min = 8 ²⁰ ₆₀
 h = 8 ¹₃ h

Distance between the two cities
= 8 ¹₃ x 84
= ²⁵₃ x 84
= 700 km

Answer(s): (a) 70 km/h; (b) 700 km