At 8 a.m., Ken started from City P and travelled towards City Q and his speed remained constant throughout. At 10 a.m., Joelle started her journey from City P towards City Q at an average speed of 81 km/h. Joelle overtook Ken at 2 p.m. After overtaking, Joelle carried on her journey at the same average speed and reached at City Q at 3:40 p.m.
- Find Ken's average speed in km/h.
- What is the distance between the two cities?
(a)
From 10 a.m. to 2 p.m. = 4 h
Distance that Joelle had travelled until Joelle overtook Ken
= 4 x 81
= 324 km
From 8 a.m. to 2 p.m. = 6 h
Ken's average speed
= 324 ÷ 6
= 54 km/h
(b)
From 10 a.m. to 3:40 p.m. = 5 h 40 min
1 h = 60 min
5 h 40 min = 5
40 60
h = 5
23 h
Distance between the two cities
= 5
23 x 81
=
173 x 81
= 459 km
Answer(s): (a) 54 km/h; (b) 459 km