Four Vehicles

[huneynumb]

A car, a van, a truck and a bike are all travelling in the same direction on the same road, each at its own constant speed. At 10 am, the car overtakes the van; at noon, its overtakes the truck; at

2pm its overtakes the bike. At 4 pm the truck overtakes the bike and, at 6pm, the van overtakes the truck.

 

a) Let c an T represent the speeds in km/h of the car and the truck

respectively.

i) Find the speeds of the van and the bike in terms of c and T

ii) Show that the time when the van overtakes the bike is the same

regardless of the speeds of the car and the truck

[the tree]

A far as part ii is concerned: the location with respect to time of each vechile is related to it's own speed and it's starting position but no other values.

 

Back to part one, try expressing what you already know from the question, as equations and that'll help you make progress.