document.write( "Question 998576: in six hours A walks 10 kilometers more than B in five hours and in 8 hours B walks 7 kilometers more than A does in 5 hours what are the speeds of each person? \n" ); document.write( "
Algebra.Com's Answer #616340 by stanbon(75887)\"\" \"About 
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in six hours A walks 10 kilometers more than B in five hours and in 8 hours B walks 7 kilometers more than A does in 5 hours what are the speeds of each person?
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\n" ); document.write( "\n" ); document.write( "6a = 5b+10
\n" ); document.write( "8b = 5a+7
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\n" ); document.write( "Rearrange::
\n" ); document.write( "6a - 5b = 10
\n" ); document.write( "5a - 8b = -7
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\n" ); document.write( "Modify for elimination::
\n" ); document.write( "30a - 25b = 50
\n" ); document.write( "30a - 48b = -42
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\n" ); document.write( "Subtract and solve for \"b\"::
\n" ); document.write( "23b = 92
\n" ); document.write( "b = 4 km/hr (B's rate)
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\n" ); document.write( "Solve for \"a\":
\n" ); document.write( "6a - 5b = 10
\n" ); document.write( "6a - 20 = 10
\n" ); document.write( "6a = 30
\n" ); document.write( "a = 5 km/hr (A's rate)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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