At 8 a.m., Rael started from City M and travelled towards City N and his speed remained constant throughout. At 10 a.m., Xylia started her journey from City M towards City N at an average speed of 69 km/h. Xylia overtook Rael at 2 p.m. After overtaking, Xylia carried on her journey at the same average speed and reached at City N at 4:40 p.m.
- Find Rael'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 Xylia had travelled until Xylia overtook Rael
= 4 x 69
= 276 km
From 8 a.m. to 2 p.m. = 6 h
Rael's average speed
= 276 ÷ 6
= 46 km/h
(b)
From 10 a.m. to 4:40 p.m. = 6 h 40 min
1 h = 60 min
6 h 40 min = 6
40 60
h = 6
23 h
Distance between the two cities
= 6
23 x 69
=
203 x 69
= 460 km
Answer(s): (a) 46 km/h; (b) 460 km