document.write( "Question 101286: On Friday morning Ricardo drove from his house to the beach in 4 hours. In coming back on Sunday afternoon, heavy traffic slowed his speed by 7 mi/h and the trip took 5 hours. What was his average speed (rate) in each direction? \n" ); document.write( "
Algebra.Com's Answer #73854 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! from his house to the beach in 4 hours. Back, traffic slowed his speed by 7 mi/h and the trip took 5 hours. What was his average speed (rate) in each direction?\r \n" ); document.write( "\n" ); document.write( "Let t = speed to the beach \n" ); document.write( "then \n" ); document.write( "(t-7) = speed back from the beach \n" ); document.write( ": \n" ); document.write( "Distance there and back is the same so write a distance equation: \n" ); document.write( "Distance = time * speed \n" ); document.write( ": \n" ); document.write( "from the beach dist = to the beach dist \n" ); document.write( "5(t-7) = 4t \n" ); document.write( ": \n" ); document.write( "5t - 35 = 4t \n" ); document.write( ": \n" ); document.write( "5t - 4t = + 35 \n" ); document.write( ": \n" ); document.write( "t = 35 mph to, and 28 mph back \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by confirming the distances are the same: \n" ); document.write( "4 * 35 = 140 \n" ); document.write( ": \n" ); document.write( "5 * 28 = 140 \n" ); document.write( ": \n" ); document.write( "That's pretty easy, right? \n" ); document.write( " \n" ); document.write( " |