At 8 a.m., Wesley started from City Y and travelled towards City Z and his speed remained constant throughout. At 9 a.m., Xylia started her journey from City Y towards City Z at an average speed of 84 km/h. Xylia overtook Wesley at 2 p.m. After overtaking, Xylia carried on her journey at the same average speed and reached at City Z at 5:50 p.m.
- Find Wesley'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 Xylia had travelled until Xylia overtook Wesley
= 5 x 84
= 420 km
From 8 a.m. to 2 p.m. = 6 h
Wesley's average speed
= 420 ÷ 6
= 70 km/h
(b)
From 9 a.m. to 5:50 p.m. = 8 h 50 min
1 h = 60 min
8 h 50 min = 8
50 60
h = 8
56 h
Distance between the two cities
= 8
56 x 84
=
536 x 84
= 742 km
Answer(s): (a) 70 km/h; (b) 742 km