document.write( "Question 356607: at the beginning of a bicycle ride for charity, roberto and juana are 30 miles apart. If they Leave at the same time and ride in the same direction, roberto overtakes juana in 6 hours. if they ride toward each other, they meet in 1 hour. what are their speeds? \n" ); document.write( "

Algebra.Com's Answer #254545 by robertb(5830) $\"\"$ $\"About$

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Let r = speed of roberto, j = speed of juana. Using the formula D = RT, (distance = rate x time), the 1st and 2nd sentences give
\n" ); document.write( " $\"6r+=+30+%2B+6j\"$ . The 3rd sentence implies that $\"1r+%2B+1j+=+30\"$ .
\n" ); document.write( "The first equation is the same as $\"r+-j+=+5\"$ , after transposition and dividing both sides by 6. The 2nd equation is just $\"r%2Bj=30\"$ . Adding corresponding sides of these 2 equations, we get $\"2r+=+35\"$ , or r = 17.5 miles per hour. Then j=30 - r = 12.5 miles per hour. \n" ); document.write( "

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