Maths question

a bus travels 200 km at a constant speed. a car travelling 10 km/h faster than the bus, completes the same distance in 1 hour less than the bus.

(1) how many hours does the bus take to travel the 200 km?

(2) what is the speed of the car?

Comments

assignment?

Is this an assignment? If so, it was intended to teach you to use symbols and model a real world situation. Here's how you might go about it using Maple's worksheet mode and 1D input.

Assumption: Speeds will be in kph, times in hours and distances in km.
Let the speed of the bus be Vb and the time it takes to cover the 200 km be tb. So, Vb = 200/tb.
Let the speed of the car be Vc. So, Vc = Vb + 10.
Since the car travels the 200 km in 1 hour less than the bus, Vc = 200/(tb - 1).
We have 3 equations in 3 unknowns and so it should be possible to solve for them all.

Now please see the help pages for solve and try to solve the equations for the 3 unknowns. Also explain why there are two answers for each unknown.

Hope this helps.

J. Tarr

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