document.write( "Question 52678: To whm may it concern,\r
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document.write( "I have tried but still didn't managed to solve it.\r
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document.write( "Two men, P and Q, start at the same point and travel in opposite directions by motorcycle. The speed at which P travels is 4km/h faster than that of Q’s. After 5 hours, they are 580 km apart. Find the speed in km/h at which P travels.\r
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document.write( "Thank you. \n" );
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Algebra.Com's Answer #35145 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! Distance = rate * time or d=rt \n" ); document.write( "Because P and Q are traveling opposite of each other we add their distances to get the 580 km. \n" ); document.write( "If the rate that Q travels is r, then the rate that P travels is r+4. \n" ); document.write( "The time that they both traveled is 5. \n" ); document.write( "Therefore, the distance that P traveled is 5(r+4) and the distance that Q traveled is 5r. So our equation to solve is: \n" ); document.write( "5(r+4)+5r=580 \n" ); document.write( "5r+20+5r=580 \n" ); document.write( "10r+20=580 \n" ); document.write( "10r+20-20=580-20 \n" ); document.write( "10r=560 \n" ); document.write( "10r/10=560/10 \n" ); document.write( "r=56 km/h This is the rate that Q traveled. \n" ); document.write( "The rate that P traveled is r+4=56+4=60 km/h \n" ); document.write( " |