At 8 a.m., Cole started from City M and travelled towards City N and his speed remained constant throughout. At 9 a.m., Linda started her journey from City M towards City N at an average speed of 84 km/h. Linda overtook Cole at 2 p.m. After overtaking, Linda carried on her journey at the same average speed and reached at City N at 4:45 p.m.
- Find Cole's average speed in km/h.
- What is the distance between the two cities?
(a)
From 9 a.m. to 2 p.m. = 5 h
Distance that Linda had travelled until Linda overtook Cole
= 5 x 84
= 420 km
From 8 a.m. to 2 p.m. = 6 h
Cole's average speed
= 420 ÷ 6
= 70 km/h
(b)
From 9 a.m. to 4:45 p.m. = 7 h 45 min
1 h = 60 min
7 h 45 min = 7
45 60
h = 7
34 h
Distance between the two cities
= 7
34 x 84
=
314 x 84
= 651 km
Answer(s): (a) 70 km/h; (b) 651 km