document.write( "Question 670239: Hello, I'm having trouble on this problem. at 10:00am,a car leaves a house at a rate of 60 mph. At the same time, another car leaves the same house at a rate of 50 mph in the opposite direction. At what time will the cars by 330 miles apart? \n" ); document.write( "
Algebra.Com's Answer #416833 by DrBeeee(684)![]() ![]() ![]() You can put this solution on YOUR website! Since they are travelling in opposite directions, it is like one car going at the sum of the two speeds or \n" ); document.write( "(1) d = (r1 + r2)*t or using the values you are given \n" ); document.write( "(2) 330 = (60 + 50)*t or \n" ); document.write( "(3) 330 = 110*t which gives \n" ); document.write( "(4) t = 330/110 or \n" ); document.write( "(5) t = 3 \n" ); document.write( "Lets check this value of time by calculating the distance each car travels in 3 hours. \n" ); document.write( "(6) d1 = 60*3 or \n" ); document.write( "(7) d1 = 180 mi \n" ); document.write( "and \n" ); document.write( "(8) d2 = 50*3 or \n" ); document.write( "(9) d2 = 150 mi \n" ); document.write( "Is (d1 + d2 = 330)? \n" ); document.write( "Is (180 + 150 =330)? \n" ); document.write( "Is (330 = 330)? Yes \n" ); document.write( "Answer: The cars will 330 miles apart at 1:00 pm the same day. \n" ); document.write( " |