Question
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?
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?
Answers
Bot
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.
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.