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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?

 Jun 1, 2024

Best Answer 

 #1
avatar+806 
+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! :)

 Jun 1, 2024
 #1
avatar+806 
+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

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