At 8 a.m., John started from City V and travelled towards City W and his speed remained constant throughout. At 10 a.m., Raeann started her journey from City V towards City W at an average speed of 84 km/h. Raeann overtook John at 2 p.m. After overtaking, Raeann carried on her journey at the same average speed and reached at City W at 6:20 p.m.
- Find John'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 Raeann had travelled until Raeann overtook John
= 4 x 84
= 336 km
From 8 a.m. to 2 p.m. = 6 h
John's average speed
= 336 ÷ 6
= 56 km/h
(b)
From 10 a.m. to 6:20 p.m. = 8 h 20 min
1 h = 60 min
8 h 20 min = 8
20 60
h = 8
13 h
Distance between the two cities
= 8
13 x 84
=
253 x 84
= 700 km
Answer(s): (a) 56 km/h; (b) 700 km