At 7 a.m., Caden started from City C and travelled towards City D and his speed remained constant throughout. At 8 a.m., Emma started her journey from City C towards City D at an average speed of 84 km/h. Emma overtook Caden at 1 p.m. After overtaking, Emma carried on her journey at the same average speed and reached at City D at 6:30 p.m.
- Find Caden's average speed in km/h.
- What is the distance between the two cities?
(a)
From 8 a.m. to 1 p.m. = 5 h
Distance that Emma had travelled until Emma overtook Caden
= 5 x 84
= 420 km
From 7 a.m. to 1 p.m. = 6 h
Caden's average speed
= 420 ÷ 6
= 70 km/h
(b)
From 8 a.m. to 6:30 p.m. = 10 h 30 min
1 h = 60 min
10 h 30 min = 10
30 60
h = 10
12 h
Distance between the two cities
= 10
12 x 84
=
212 x 84
= 882 km
Answer(s): (a) 70 km/h; (b) 882 km