document.write( "Question 572741: An athlete can burn 10 calories per minute while running and 4 calories per minute while walking. If the athlete burns 450 calories in 60 minutes, how long is spent on each activity? \n" ); document.write( "
Algebra.Com's Answer #368491 by mathsmiles(68)![]() ![]() You can put this solution on YOUR website! This athlete trains for 60 minutes. Some of those minutes are spent walking and some are spent running.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "X minutes he spends running. The rest of the hour (60-X) minutes he spends walking.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If he burns 10 cals per minute running then his total calories running are \n" ); document.write( "10 cals/min times X minutes. \n" ); document.write( " \n" ); document.write( "If he burns 4 cals per minute walking then his total calories walking are 4 cals/min times (60-X) minutes.\r \n" ); document.write( "\n" ); document.write( "All together he burns 450 calories.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Put these 3 statements together and we have \n" ); document.write( "10X + 4(60-X) = 450 \n" ); document.write( "10X + 240 - 4X = 450. Subtract 240 from each side of the equation ... \n" ); document.write( "10X - 4X = 210. Combining like X terms ... \n" ); document.write( "6X = 210. Dividing both sides by 6 ... \n" ); document.write( "X = 35 minutes\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "He spends 35 minutes running and 60-35 = 25 minutes walking.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's check our answer: \n" ); document.write( "10 cals/min times 35 minutes = 350 calories. \n" ); document.write( "4 cals/min times 25 minutes = 100 calories. \n" ); document.write( "Adding them gives us 450 calories. Check!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |