document.write( "Question 628629: Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr respectively. By the time they meet, the first train has traveled 100 km more than the second. Find the distance between P and Q.\r
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document.write( "Need answer with solution urgently.. Thanks a million..
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Algebra.Com's Answer #395795 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr respectively. By the time they meet, the first train has traveled 100 km more than the second. Find the distance between P and Q.\r \n" ); document.write( "\n" ); document.write( "Need answer with solution urgently.. Thanks a million..\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let distance traveled by faster train be D \n" ); document.write( "Then distance traveled by slower train = D - 100 \n" ); document.write( "Time taken by faster train to travel to meeting point = time taken by slower train to travel to the meeting point, OR \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "50(D – 100) = 40D ------ Cross-multiplying\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "50D – 5,000 = 40D\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "50D - 40D = 5,000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10D = 5,000 \n" ); document.write( "D, or distance traveled by faster train = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Distance traveled by slower train = 500 – 100, or \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, distance between P and Q = 500 + 400, or \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can do the check, I'm sure!!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com \n" ); document.write( " |