You drove from your home to Dallas at an average spped of 60 mph and returned hom at an average speed of 45 mph. IF the total driving time was 21 hours, how far is it from your home to Dallas?

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- Feb 2nd 2009, 06:27 PMcherubeeword problem using d=rt (distance = rate x time)
You drove from your home to Dallas at an average spped of 60 mph and returned hom at an average speed of 45 mph. IF the total driving time was 21 hours, how far is it from your home to Dallas?

- Feb 3rd 2009, 06:17 AMmasters
Hi cherubee,

From home to Dallas took**t**hours at**60mph**.

From Dallas to home took**21 - t**hours at**45mph.**

The distances are the same, so let's find out how long it takes to drive to Dallas.

$\displaystyle 60t=45(21-t)$

$\displaystyle 60t=945-45t$

$\displaystyle t=9$

Distance = rate X time

So the distance from home to Dallas is**60(9) = 540 miles.**