document.write( "Question 274343: A pharmacist trains by running one training segment at 8 kilometers per hour and then a second at 10 kilometers per hour. If the total running time is 3.5 hours and the total distance is 31 kilometers, how long should he run at each speed?\r
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Algebra.Com's Answer #200441 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! running one training segment at 8 kilometers per hour and then a second at 10 kilometers per hour. \n" ); document.write( " If the total running time is 3.5 hours and the total distance is 31 kilometers, how long should he run at each speed? \n" ); document.write( ": \n" ); document.write( "Let t = time running at 10 km/hr \n" ); document.write( "then \n" ); document.write( "(3.5 - t) = time running at 8 km/hr \n" ); document.write( ": \n" ); document.write( "Write distance equation: dist = speed * time \n" ); document.write( ": \n" ); document.write( "8 km dist + 10 km dist = 31 km \n" ); document.write( "8(3.5-t) + 10t = 31 \n" ); document.write( "28 - 8t + 10t = 31 \n" ); document.write( "2t = 31 - 28 \n" ); document.write( "2t = 3 \n" ); document.write( "t = 1.5 hr at 10 km/hr \n" ); document.write( "and \n" ); document.write( "3.5 - 1.5 = 2 hr at 8 km/hr \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding the total dist \n" ); document.write( "8(2) + 10(1.5) = \n" ); document.write( "16 + 15 = 31 \n" ); document.write( " |