The distance between London and York is 320 km.
A train takes x hours to travel between London and York.
(a) Write down an expression, in terms of x, for the average speed of the train in km/h. [1]
(b) A car takes 212 hours longer than a train to travel between London and York. [3]
The average speed of the train is 80 km/h greater than the average speed of the car.
Form an equation in x and show that it simplifies to 2x 2 + 5x – 20 = 0. [2]
(c) Solve the equation 2x 2 + 5x – 20 = 0, giving your answers correct to 2 decimal places.
(d) Hence find the average speed of the car correct to the nearest km/h. [2]
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A train takes x hours to travel between the two places.
What would be a expression,in terms of x, for the average speed of the train
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