document.write( "Question 1086844: Bicyclists Mia and Pia leave the same point P at the same time at right angles. Pia travels 7 km/h faster than Mia. After three hours, they are 39 km apart. Find the speed of each cyclist. \n" ); document.write( "

Algebra.Com's Answer #701068 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Rate x Time = Distance,
\n" ); document.write( " $\"P=M%2B7\"$
\n" ); document.write( " $\"D%5BP%5D=%28M%2B7%293=3M%2B21\"$
\n" ); document.write( " $\"D%5BM%5D=M%283%29=3M\"$
\n" ); document.write( "and
\n" ); document.write( " $\"D%5BP%5D%5E2%2BD%5BM%5D%5E2=39%5E2\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"%283M%2B21%29%5E2%2B%283M%29%5E2=1521\"$
\n" ); document.write( " $\"9M%5E2%2B126M%2B441%2B9M%5E2=1521\"$
\n" ); document.write( " $\"18M%5E2%2B126M-1080=0\"$
\n" ); document.write( " $\"M%5E2%2B7M-60=0\"$
\n" ); document.write( " $\"%28M%2B12%29%28M-5%29=0\"$
\n" ); document.write( "Only positive rates make sense here,
\n" ); document.write( " $\"M-5=0\"$
\n" ); document.write( " $\"M=5\"$ $\"kph\"$
\n" ); document.write( "and
\n" ); document.write( " $\"P=5%2B7\"$
\n" ); document.write( " $\"P=12\"$ $\"kph\"$ \n" ); document.write( "

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