document.write( "Question 171787: Two cars leave their respective towns ,wich are 1000 km appart, travelind towards each other. One cars leavesat 8 am and average 120km/h . The other car leaves at 9am and averages 100km/h. When and where will they meet each other? At what time will they be 500 kilometers apart? \n" ); document.write( "
Algebra.Com's Answer #127068 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Two cars leave their respective towns, which are 1000 km apart, traveling \n" ); document.write( " towards each other. One cars leave sat 8 am and average 120km/h. \n" ); document.write( " The other car leaves at 9am and averages 100km/h. \n" ); document.write( ": \n" ); document.write( " When and where will they meet each other? \n" ); document.write( ": \n" ); document.write( "Let t = travel time of the 1st car \n" ); document.write( "then \n" ); document.write( "(t-1) = travel time of the 2nd car \n" ); document.write( ": \n" ); document.write( "When they do meet, they will have traveled a total distance of 1000 km \n" ); document.write( "Write a distance equation from this fact: Dist = speed * time \n" ); document.write( ": \n" ); document.write( "1st car dist + 2nd car dist = 1000 km \n" ); document.write( "120t + 100(t-1) = 1000 \n" ); document.write( "120t + 100t - 100 = 1000 \n" ); document.write( "120t + 100t = 1000 + 100 \n" ); document.write( "220t = 1100 \n" ); document.write( "t = \n" ); document.write( "t = 5 hrs which will be 1 pm when they will meet \n" ); document.write( ": \n" ); document.write( "They will meet at 5*120 = 600 km from car 1's starting point \n" ); document.write( "or \n" ); document.write( "4 * 100 = 400 km from car 2's starting point (for a total 1000 km) \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( " At what time will they be 500 kilometers apart? \n" ); document.write( ": \n" ); document.write( "They will have traveled half way, use the same equation to find t: \n" ); document.write( "120t + 100(t-1) = 500 \n" ); document.write( "120t + 100t - 100 = 500 \n" ); document.write( "120t + 100t = 500 + 100 \n" ); document.write( "220t = 600 \n" ); document.write( "t = \n" ); document.write( "t = 2.72 hrs or 2 hrs 43.6 min which is 10:44 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this \n" ); document.write( "2.73 * 120 = 328.0 km from car A starting point \n" ); document.write( "1.72 * 100 = 172.0 km from car B starting point \n" ); document.write( "------------------- \n" ); document.write( "total driven 499.6 km ~ 500 \n" ); document.write( ": \n" ); document.write( "A.............328>.....................<172.......B (1000) \n" ); document.write( "1000 - 328 - 172 = 500 km \n" ); document.write( " |