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.
Hello, imbadatmath!
Recall the formula: .
We will use the variation: .
Let = her average speed.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!