document.write( "Question 8070: Hello i have a question\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?\r
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document.write( "Thank you so much for your help a mom \n" );
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Algebra.Com's Answer #4495 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! You can use the distance formula: d = rt (distance = rate X time)\r \n" ); document.write( "\n" ); document.write( "For the outbound trip: \n" ); document.write( " d1 = (r1)(t1) \n" ); document.write( "d1 = (r1)(5 hrs)\r \n" ); document.write( "\n" ); document.write( "For the return trip:\r \n" ); document.write( "\n" ); document.write( "d2 = (r2)(t2) \n" ); document.write( "d2 = (r2)(4 hrs)\r \n" ); document.write( "\n" ); document.write( "But, d1 = d2 (Same distance outbound as return) \n" ); document.write( "And, r2 = r1+5 (Return speed was 5 mph more than the outbound speed)\r \n" ); document.write( "\n" ); document.write( "So we can write: d1 = d2 or;\r \n" ); document.write( "\n" ); document.write( "(r1)(5) = (r1+5)(4) Simplify and solve for r1. \n" ); document.write( "5(r1) = 4(r1) + 20 \n" ); document.write( "r1 = 20 mph Outbound speed. \n" ); document.write( "r2 = r1+5 mph = (20+5) mph = 25 mph Return speed. \n" ); document.write( " |