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Distance

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by vladmire » Sat Oct 18, 2008 11:10 am
I'm having a difficult time setting up my equation to answer this question

During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. She stopped again after she traveled 1/4 of the distance remaining between her first stop and her destination, and then she drove the remaining 120 miles to her destination. What was the total distance, in miles, from maria's starting point to her destination

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by dmateer25 » Sat Oct 18, 2008 11:25 am
Here is how I set it up:

Let X = Total miles

X/2 = Half of the trip

Then she drove 1/4 of the remaining trip so: 1/4 * x/2 = x/8

So at this point we know she drove X/2 miles. Took a break. Then drove X/8 miles and took a break. The remaining miles are 120 so...

X/2 - X/8 = 120

3X/8 = 120

3X = 960

X=320


You could plug in and work backward on this problem also.

Start with 320 Miles

You drive half of the trip

That means you drove 160.

Then you drive 1/4 of the 160. So you drive 40 miles.

160 - 140 = 120 miles left
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by cramya » Sat Oct 18, 2008 2:20 pm
Another approach:

Let x be the total distance

x/2+ x/8+120 = x

x=320
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