+677 I drove to the beach at a rate of $40$ miles per hour. If I had driven at a rate of $55$ miles per hour instead, then I would have arrived $25$ minutes earlier. How many miles did I drive?
+1365 First, let's note that distance = rate*time.
From the problem, we know that
\(d = 40 t \\ d = 55(t - 25/60)\)
\(40 t = 55 ( t-25/60) \\ -15t = -275/12 \\ t = 55/36\)
Multiplying this by 40 miles per hour, we get
\( 40 \cdot 55/36 = 61 + 1/9 miles \)
61 1/9 miles is hour answerr!
Thanks! :)
+1365 First, let's note that distance = rate*time.
From the problem, we know that
\(d = 40 t \\ d = 55(t - 25/60)\)
\(40 t = 55 ( t-25/60) \\ -15t = -275/12 \\ t = 55/36\)
Multiplying this by 40 miles per hour, we get
\( 40 \cdot 55/36 = 61 + 1/9 miles \)
61 1/9 miles is hour answerr!
Thanks! :)
