Madison rode her motorcycle 300 miles at a certain average speed. Had she averaged 10 miles per hour more, the trip would have taken 1 hour less. Find the average speed of the motorcycle.

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- Apr 24th 2008, 06:15 PMimbadatmathApplications Involving Quadratic Equations
Madison rode her motorcycle 300 miles at a certain average speed. Had she averaged 10 miles per hour more, the trip would have taken 1 hour less. Find the average speed of the motorcycle.

- Apr 24th 2008, 09:33 PMSoroban
Hello, imbadatmath!

Recall the formula: .

We will use the variation: .

Quote:

Madison rode her motorcycle 300 miles at a certain average speed.

Had she averaged 10 miles per hour more, the trip would have taken 1 hour less.

Find the average speed of the motorcycle.

She rode 300 miles at mph.

. . This took her: . hours.

If her speed were mph,

. . it would have taken her: . hours.

And this time is one hour less.

There is our equation . . .

Multiply by

. . which simplifies to: .

*Go for it!*