document.write( "Question 88067: I always have problems with this type of word problem How can I solve this and write the equation for it? please help\r
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document.write( "A bicyclist rode into the country for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4 h. What was her speed each way? \n" );
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Algebra.Com's Answer #64065 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A bicyclist rode into the country for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4 h. What was her speed each way? \n" ); document.write( ": \n" ); document.write( "Let s = speed outbound \n" ); document.write( "Then \n" ); document.write( "(s+5) = speed returning \n" ); document.write( ": \n" ); document.write( "We know that the dist out and the distance back are equal. We can make a simple equation from that fact: Dist = time * speed \n" ); document.write( ": \n" ); document.write( "Dist out = dist back \n" ); document.write( "5s = 4(s+5) \n" ); document.write( "5s = 4s + 20 \n" ); document.write( "5s - 4s = 20 \n" ); document.write( "s = 20 mph \n" ); document.write( ": \n" ); document.write( "Then her return speed, 20 + 5 = 25 mph \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution using the distance: \n" ); document.write( "5(20) = 4(25) \n" ); document.write( " \n" ); document.write( " |