document.write( "Question 514294: two cars started from the same point and traveling in opposite direction.one traveled at the half the speed of the other.After 5 hours they were 600 km apart.What is the speed of the faster car? \n" ); document.write( "
Algebra.Com's Answer #343372 by Maths68(1474) You can put this solution on YOUR website! Let \n" ); document.write( "Car A Speed = a km/h \n" ); document.write( "Car B Speed = a/2 km/h \n" ); document.write( "============================================================== \n" ); document.write( "Car A will travel total distance in 5 hours = a * 5 = 5a km \n" ); document.write( "Car B will travel total distance in 5 hours = a/2 * 5 = 5a/2 km\r \n" ); document.write( "\n" ); document.write( "They are traveling in oppisite directions so \n" ); document.write( "sum of the distance travelled by both Cars = 600km\r \n" ); document.write( "\n" ); document.write( "5a+5a/2=600 \n" ); document.write( "(10a+5a)/2=600 \n" ); document.write( "15a/2=600 \n" ); document.write( "15a=600*2 \n" ); document.write( "15a=1200 \n" ); document.write( "a=1200/15 \n" ); document.write( "a=80\r \n" ); document.write( "\n" ); document.write( "================================================================== \n" ); document.write( "Car A Speed = a=80 km/h \n" ); document.write( "Car B Speed = a/2=80/2=40 km/h \n" ); document.write( "=================================================================== \n" ); document.write( "Check\r \n" ); document.write( "\n" ); document.write( "Distance travelled by Car A = 80 * 5 = 400 km \n" ); document.write( "Distance travelled by Car B = 40*5 = 200km \n" ); document.write( "Total Distance b/w Car A and B = 400+200 = 600 km \n" ); document.write( " \n" ); document.write( " |