document.write( "Question 77941This question is from textbook Addison-Wesley Algebra
\n" );
document.write( ": A motorcycle breaks down and the rider has to walk the rest of the way to work.The motorcycle was traveling at 45 mi/h , and the rider walks at a speed of 6 mi/h. The distance from home is 25 miles, and the total time for the trip was 2 hours. How far did the motorcycle go before it broke down? \n" );
document.write( "
Algebra.Com's Answer #55886 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A motorcycle breaks down and the rider has to walk the rest of the way to work.The motorcycle was traveling at 45 mi/h , and the rider walks at a speed of 6 mi/h. The distance from home is 25 miles, and the total time for the trip was 2 hours. How far did the motorcycle go before it broke down? \n" ); document.write( ": \n" ); document.write( "Let x = distance the motorcycle traveled \n" ); document.write( "Then (25-x) = distance he walked \n" ); document.write( ": \n" ); document.write( "Write a time equation; Time = distance/speed \n" ); document.write( ": \n" ); document.write( "Motor cycle time + walking time = 2 hrs \n" ); document.write( "x/45 + (25-x)/6 = 2 \n" ); document.write( ": \n" ); document.write( "Multiply equation by 90 to get rid of the denominators, you then have \n" ); document.write( "2x + 15(25-x) = 90(2) \n" ); document.write( ": \n" ); document.write( "2x + 375 - 15x = 180 \n" ); document.write( ": \n" ); document.write( "2x - 15x = 180 - 375 \n" ); document.write( ": \n" ); document.write( "-13x = -195 \n" ); document.write( ": \n" ); document.write( "x = -195/-13 \n" ); document.write( ": \n" ); document.write( "x = +15 miles by motorcycle \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Then we know the poor guy walk 25 - 15 = 10 miles! \n" ); document.write( ": \n" ); document.write( "Check using the time: \n" ); document.write( "15/45 + 10/6 = \n" ); document.write( "1/3 + 5/3 = 6/3 = 2 hrs \n" ); document.write( ": \n" ); document.write( "Did this make sense to you? \n" ); document.write( " |