document.write( "Question 593783: Two cars X and Y start from two places A, B respectively which are 700 km apart at 9 a. m. Both the cars run at an average speed of 60 km / hr. Car X stops at 10 a. m. and again starts at 11 a. m. while the other car Y continues to run without stopping. When do the two cars cross each other ? \n" ); document.write( "
Algebra.Com's Answer #376457 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two cars X and Y start from two places A, B respectively which are 700 km apart \n" ); document.write( "at 9 a. m. Both the cars run at an average speed of 60 km / hr. \n" ); document.write( "Car X stops at 10 a. m. and again starts at 11 a. m. while the other car Y continues to run without stopping. \n" ); document.write( "When do the two cars cross each other ? \n" ); document.write( ": \n" ); document.write( "Let t = travel time of Car y \n" ); document.write( "then \n" ); document.write( "(t-1) = travel time of Car x \n" ); document.write( ": \n" ); document.write( "The cars will meet when their distances traveled add up to 700 km \n" ); document.write( ": \n" ); document.write( "60t + 60(t-1) = 700 \n" ); document.write( "60t + 60t - 60 = 700 \n" ); document.write( "120t = 700 + 60 \n" ); document.write( "120t = 760 \n" ); document.write( "t = 6 \n" ); document.write( "hence \n" ); document.write( "9:00 + 6:20 = 3:20 Pm \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this by finding the actual distance each car traveled by 3:20 PM \n" ); document.write( "Car y: 6.33(60) = 380 \n" ); document.write( "Car x: 5.33(60) = 320 \n" ); document.write( "---------------------- \n" ); document.write( "total distance: 700 km \n" ); document.write( " \n" ); document.write( " |