document.write( "Question 35481: 1. Points A and B are 100 km apart on a highway. One car starts from A and another from B at same time. If the cars travel in the same direction at a constant speed,they meet in 5 hours. If the cars travel towards each other, they meet in 1 hour. What are the speeds of the two cars? \n" ); document.write( "
Algebra.Com's Answer #21630 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! . Points A and B are 100 km apart on a highway. One car starts from A and another from B at same time. If the cars travel in the same direction at a constant speed,they meet in 5 hours. If the cars travel towards each other, they meet in 1 hour. What are the speeds of the two cars? \n" ); document.write( "LET THE SPEEDS OF THE CAR BE X AND Y KMPH \n" ); document.write( "CASE 1. \n" ); document.write( "WHEN GOING IN SAME DIRECTION \n" ); document.write( "RELATIVE SPEED =X-Y \n" ); document.write( "DISTANCE =100 KM \n" ); document.write( "TIME =100/(X-Y)=5 HRS \n" ); document.write( "X-Y=100/5=20.............................I \n" ); document.write( "CASE 2. \n" ); document.write( "WHEN GOING IN OPPOSITE DIRECTION \n" ); document.write( "RELATIVE SPEED =X+Y \n" ); document.write( "TIME =100/(X+Y)=1 HRS \n" ); document.write( "X+Y=100......................II \n" ); document.write( "EQN.I+EQN.II \n" ); document.write( "2X=120 \n" ); document.write( "X=120/2=60 \n" ); document.write( "Y=100-X=100-60=40 \n" ); document.write( "HENCE SPEEDS OF 2 CARS ARE 60 AND 40 KMPH \n" ); document.write( " |