At 7 a.m., Caden started from City H and travelled towards City J and his speed remained constant throughout. At 9 a.m., Cindy started her journey from City H towards City J at an average speed of 72 km/h. Cindy overtook Caden at 1 p.m. After overtaking, Cindy carried on her journey at the same average speed and reached at City J at 2:20 p.m.
- Find Caden's average speed in km/h.
- What is the distance between the two cities?
(a)
From 9 a.m. to 1 p.m. = 4 h
Distance that Cindy had travelled until Cindy overtook Caden
= 4 x 72
= 288 km
From 7 a.m. to 1 p.m. = 6 h
Caden's average speed
= 288 ÷ 6
= 48 km/h
(b)
From 9 a.m. to 2:20 p.m. = 5 h 20 min
1 h = 60 min
5 h 20 min = 5
20 60
h = 5
13 h
Distance between the two cities
= 5
13 x 72
=
163 x 72
= 384 km
Answer(s): (a) 48 km/h; (b) 384 km