I drove to the beach at a rate of 40 miles per hour. If I had driven at a rate of 50 miles per hour instead, then I would have arrived 45 minutes later. How many miles did I drive?

Guest Jul 27, 2023

#1**0 **

Can you please stop spamming this question? There is no solution. Haven't people already told you that?

history Jul 27, 2023

#2**0 **

*I drove to the beach at a rate of 40 miles per hour. If I had driven at a rate of 50 miles per hour instead, then I would have arrived 45 minutes later. How many miles did I drive?*

You mean 45 minutes **earlier**. Obviously, if you drive faster, you get there faster.

This problem makes use of

the following relationship: Distance = Velocity x Time

D = V • T

case 1 D = (40) • (T)

case 2 D = (50) • (T – 45)

Since the Distance is the same

for both cases, let's set those

distances equal to each other. (50)(T – 45) = (40)(T)

50T – 2250 = 40T

Subtract 40T from both sides 10T – 2250 = 0

Add 2250 to both sides 10T = 2250

Divide both sides by 10 T = 225 (this is in minutes)

Divide minutes by 60 to get hours T = 225 min / 60 min/hr = 3**.**75 hours

Plug this T back into original equation D = (40 mi/hr) • (3**.**75 hr) = **150 miles**

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Bosco Jul 27, 2023