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?

RedDragonl Jun 1, 2024

#1**+1 **

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! :)

NotThatSmart Jun 1, 2024

#1**+1 **

Best Answer

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! :)

NotThatSmart Jun 1, 2024