SOLUTION: A car travels 600 km at an average speed of x km/h. If the car travels at a speed of (x-5) km/h, the journey would have taken 30 minutes longer. Form an equation in x and show tha

Question 1132154: A car travels 600 km at an average speed of x km/h. If the car travels at a speed of (x-5) km/h, the journey would have taken 30 minutes longer. Form an equation in x and show that it reduces to x2-5x=6000. Solve this equation and find the time taken when the car travels at a speed of x km/h.

x2 is x squared
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Thirty minutes is half-hour.

            SPEED         TIME        DISTANCE

As Done       x           600/x       600

If           x-5         600/(x-5)    600

Difference               1/2

The starting equation is

STEPS:

Simplification should give

Discriminant,

80 kilometers per hour
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