document.write( "Question 565547: 10. The Purdue special train is driving to a city that is hosting a Purdue sporting event. The Special leaves campus at 10:00AM and is travelling at a constant rate of 40 miles per hour. A car full of fans leaves campus at 11:30 AM and travels the same route at a constant rate of 70 miles per hour. At what time will the car catch up with the Special? \n" ); document.write( "
Algebra.Com's Answer #365862 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The Special leaves campus at 10:00AM and is travelling at a constant rate of 40 miles per hour. A car full of fans leaves campus at 11:30 AM and travels the same route at a constant rate of 70 miles per hour. At what time will the car catch up with the Special? \n" ); document.write( "------ \n" ); document.write( "Special DATA: \n" ); document.write( "rate = 40 mph ; time = x hrs ; distance = 40x miles \n" ); document.write( "---- \n" ); document.write( "Fan DATA: \n" ); document.write( "rate = 70 mph ; time = (x-(3/2)) hrs ; distance = 70(x-(3/2)) miles \n" ); document.write( "--------------------- \n" ); document.write( "Equation: \n" ); document.write( "distance = distance \n" ); document.write( "40x = 70(x-(3/2)) \n" ); document.write( "40x = 70x - 105 \n" ); document.write( "30x = 105 \n" ); document.write( "x = 3.5 hrs \n" ); document.write( "--- \n" ); document.write( "Catch-up time would be 10AM + 3 1/2 hrs = 1:30 PM \n" ); document.write( "==================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==================== \n" ); document.write( " |