SOLUTION: Michael drove 864 miles in 12 hours. At the same rate, how long would it take him to drive 504 miles?

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Question 1198222: Michael drove 864 miles in 12 hours.
At the same rate, how long would it take him to drive 504 miles?
Found 2 solutions by ewatrrr, math_tutor2020:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
864%2F12+=+504%2Fx
+x+=+%2812%2A504%29%2F864 = 7hr, how long would it take him to drive 504 miles

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

We'll use the information given in the first sentence to determine the average rate or speed.
distance = rate*time
rate = distance/time
rate = (864 miles)/(12 hours)
rate = (864/12) mph
rate = 72 mph

Then let's see how long it takes to drive 504 miles at this speed.
distance = rate*time
time = distance/rate
time = (504 miles)/(72 mph)
time = (504/72) hours
time = 7 hours

In a theoretical framework, this answer is valid. Realistically Michael is likely to take breaks here and there, or perhaps get gas.
This means the realistic time value is probably a bit larger than 7 hours. But we can get a good ballpark estimate at least.