Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. How do you determine speed of the vehicle?
We are told that if he had traveled at a speed of
Since distance travelled
So we have
Using the quadratic formula
Since the speed must be non-negative,
The slower speed is 40 mph, the faster speed is 50 mph.
There are 2 different scenarios described here, Write an expression for the speed of each of them.
The difference between the times would be 1 hour. This allows us to make an equation.
Let the slower speed be
The faster speed is
At the slower speed, the time,
At the faster speed, the time,
The difference between the two times is 1 hour.
Multiply each term by
Find factors of 2000 which differ by 10.
The factors must be quite close to
The slower speed is 40mph, the faster speed is 50 mph.