At 9 a.m., Jeremy started from City T and travelled towards City U and his speed remained constant throughout. At 10 a.m., Raeann started her journey from City T towards City U at an average speed of 78 km/h. Raeann overtook Jeremy at 3 p.m. After overtaking, Raeann carried on her journey at the same average speed and reached at City U at 5:30 p.m.
- Find Jeremy'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 Raeann had travelled until Raeann overtook Jeremy
= 5 x 78
= 390 km
From 9 a.m. to 3 p.m. = 6 h
Jeremy's average speed
= 390 ÷ 6
= 65 km/h
(b)
From 10 a.m. to 5:30 p.m. = 7 h 30 min
1 h = 60 min
7 h 30 min = 7
30 60
h = 7
12 h
Distance between the two cities
= 7
12 x 78
=
152 x 78
= 585 km
Answer(s): (a) 65 km/h; (b) 585 km