At 7 a.m., Tommy started from City H and travelled towards City J and his speed remained constant throughout. At 8 a.m., Cathy started her journey from City H towards City J at an average speed of 72 km/h. Cathy overtook Tommy at 1 p.m. After overtaking, Cathy carried on her journey at the same average speed and reached at City J at 6:45 p.m.
- Find Tommy'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 Cathy had travelled until Cathy overtook Tommy
= 5 x 72
= 360 km
From 7 a.m. to 1 p.m. = 6 h
Tommy's average speed
= 360 ÷ 6
= 60 km/h
(b)
From 8 a.m. to 6:45 p.m. = 10 h 45 min
1 h = 60 min
10 h 45 min = 10
45 60
h = 10
34 h
Distance between the two cities
= 10
34 x 72
=
434 x 72
= 774 km
Answer(s): (a) 60 km/h; (b) 774 km