Warren drives his car 80

miles and has an average of a certain speed. If the average speed had been 3mph
more, he could have traveled 86
miles in the same length of time. What was his average speed?

1 answer

Let's call Warren's average speed "x" mph.

Using the formula Distance = Speed x Time, we know that:
- When he drove 80 miles at x mph, the time it took him was 80/x hours.
- When he could have driven 86 miles at (x+3) mph, the time it would have taken him was 86/(x+3) hours.

Since we're told that these two times are the same, we can set them equal to each other:

80/x = 86/(x+3)

To solve for x, we can cross-multiply and simplify:

80(x+3) = 86x
80x + 240 = 86x
6x = 240
x = 40

Therefore, Warren's average speed was 40 mph.