At 8 a.m., Jeremy started from City E and travelled towards City F and his speed remained constant throughout. At 9 a.m., Emma started her journey from City E towards City F at an average speed of 72 km/h. Emma overtook Jeremy at 2 p.m. After overtaking, Emma carried on her journey at the same average speed and reached at City F at 1:35 p.m.
- Find Jeremy'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 Emma had travelled until Emma overtook Jeremy
= 5 x 72
= 360 km
From 8 a.m. to 2 p.m. = 6 h
Jeremy's average speed
= 360 ÷ 6
= 60 km/h
(b)
From 9 a.m. to 1:35 p.m. = 4 h 35 min
1 h = 60 min
4 h 35 min = 4
35 60
h = 4
712 h
Distance between the two cities
= 4
712 x 72
=
5512 x 72
= 330 km
Answer(s): (a) 60 km/h; (b) 330 km