At 7 a.m., Neave started from City J and travelled towards City K and his speed remained constant throughout. At 9 a.m., Abi started her journey from City J towards City K at an average speed of 72 km/h. Abi overtook Neave at 1 p.m. After overtaking, Abi carried on her journey at the same average speed and reached at City K at 5:50 p.m.
- Find Neave's average speed in km/h.
- What is the distance between the two cities?
(a)
From 9 a.m. to 1 p.m. = 4 h
Distance that Abi had travelled until Abi overtook Neave
= 4 x 72
= 288 km
From 7 a.m. to 1 p.m. = 6 h
Neave's average speed
= 288 ÷ 6
= 48 km/h
(b)
From 9 a.m. to 5:50 p.m. = 8 h 50 min
1 h = 60 min
8 h 50 min = 8
50 60
h = 8
56 h
Distance between the two cities
= 8
56 x 72
=
536 x 72
= 636 km
Answer(s): (a) 48 km/h; (b) 636 km