document.write( "Question 387045: a train an a car leave at the same time 8:00 am on a 156 mile trip the train travels at 80 mph with a 30 minute layover the car travels at 55 mph which will arrive first.\" please show equation \" \n" ); document.write( "
Algebra.Com's Answer #273591 by CharlesG2(834) ![]() You can put this solution on YOUR website! \"a train an a car leave at the same time 8:00 am on a 156 mile trip the train travels at 80 mph with a 30 minute layover the car travels at 55 mph which will arrive first.\" please show equation \"\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Distance = Rate * Time \n" ); document.write( "Car's Distance = Train's Distance = 156 miles \n" ); document.write( "Car's Rate = 55 mph = CR \n" ); document.write( "Train's Rate = 80 mph = TR \n" ); document.write( "30 minutes = 0.5 hours \n" ); document.write( "Car's Time --> 156 miles / 55 mph = 2.8363 (63 repeating) hours \n" ); document.write( "156 - (55 * 2) = 156 - 110 = 46 --> 46/55 of 60 minutes --> \n" ); document.write( "50.1818 (18 repeating) minutes --> car takes 2 hours and 50 minutes --> \n" ); document.write( "so car arrives 10:50 AM \n" ); document.write( "Train's Time Nonstop --> 156 miles / 80 mph = TTN = 1.95 \n" ); document.write( "Train's Time = TT = 1.95 + 0.5 = 2.45 hours --> \n" ); document.write( "0.45 * 60 minutes = 27 minutes --> \n" ); document.write( "train takes 2 hours and 27 minutes --> train arrives at 10:27 AM\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "train arrives first \n" ); document.write( " |