A bus covers 300 km at a steady speed of x km/h. Had the speed been 5 km/h more, the trip would have taken 2 hours less. Which equation models this correctly?

Question

Accepted Answer

x^2 + 5x - 750 = 0. 300/x - 300/x+5 = 2 => 300(5) = 2x(x + 5) => 1500 = 2x^2 + 10x => x^2 + 5x - 750 = 0. (Solving it: D = 25 + 3000 = 3025, √D = 55, x = 25 km/h.)

A bus covers 300 km at a steady speed of $x$ km/h. Had the speed been
5 km/h more, the trip would have taken 2 hours less.
Which equation models this correctly?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 The Quadratic Formula practice

A bus covers 300 km at a steady speed of x km/h. Had the speed been5 km/h more, the trip would have taken 2 hours less.Which equation models this correctly?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 The Quadratic Formula practice

A bus covers 300 km at a steady speed of $x$ km/h. Had the speed been
5 km/h more, the trip would have taken 2 hours less.
Which equation models this correctly?