At 9 a.m., Elijah started from City L and travelled towards City M and his speed remained constant throughout. At 10 a.m., Marion started her journey from City L towards City M at an average speed of 84 km/h. Marion overtook Elijah at 3 p.m. After overtaking, Marion carried on her journey at the same average speed and reached at City M at 1:15 p.m.
- Find Elijah's average speed in km/h.
- What is the distance between the two cities?
(a)
From 10 a.m. to 3 p.m. = 5 h
Distance that Marion had travelled until Marion overtook Elijah
= 5 x 84
= 420 km
From 9 a.m. to 3 p.m. = 6 h
Elijah's average speed
= 420 ÷ 6
= 70 km/h
(b)
From 10 a.m. to 1:15 p.m. = 3 h 15 min
1 h = 60 min
3 h 15 min = 3
15 60
h = 3
14 h
Distance between the two cities
= 3
14 x 84
=
134 x 84
= 273 km
Answer(s): (a) 70 km/h; (b) 273 km