document.write( "Question 986249: I can not figure out the formula to use for the following word problem. I have tried the d=rt but I do not have the time or the rate of movement.
\n" ); document.write( "I also tried dividing the total distance by the cost per gal.
\n" ); document.write( "Two gas distributors in Interstate 80 are 228 miles apart. A sells gasoline at 3.40 per gal. B sells it for 3.20 per gal both charge .2 cents per gal per mile for delivery. Where on Interstate 80 is the cost the same to the customer? \n" ); document.write( "

Algebra.Com's Answer #607072 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "I can not figure out the formula to use for the following word problem. I have tried the d=rt but I do not have the time or the rate of movement.
\n" ); document.write( "I also tried dividing the total distance by the cost per gal.
\n" ); document.write( "Two gas distributors in Interstate 80 are 228 miles apart. A sells gasoline at 3.40 per gal. B sells it for 3.20 per gal both charge .2 cents per gal per mile for delivery. Where on Interstate 80 is the cost the same to the customer?
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Let distance from customer be D
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document.write( "Then: 3.4 + D(.002) = 3.2 + D(.002)
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document.write( "3.4 + .002M = 3.2 + .002(228 - M)
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document.write( "3.4 + .002M = 3.2 + .456 - .002M
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document.write( ".002M + .002M = 3.2 - 3.4 + .456
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document.write( ".004M = .256
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document.write( "M, or distance = , or 64 miles\r
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document.write( "This means that distributor A should be positioned closer to the customer, or  miles from the customer, since this distributor's gas price is higher
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document.write( "Thus, distributor B should be positioned farther or  (228 - 64) miles from the customer, since this distributor's gas price is the lesser of the two.  \n" );
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