document.write( "Question 362933: The river boat Delta Duchess paddled upstream at 12 km/h, stopped for 2 h of sightseeing, and paddled back at 18 km/h. How far upstream did the boat travel if the total time for the trip, including the stop, was 7 h? \n" ); document.write( "
Algebra.Com's Answer #258864 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The river boat Delta Duchess paddled upstream at 12 km/h, stopped for 2 h of \n" ); document.write( " sightseeing, and paddled back at 18 km/h. \n" ); document.write( " How far upstream did the boat travel if the total time for the trip, including the stop, was 7 h? \n" ); document.write( ": \n" ); document.write( "We are only interested the in the actual travel time which is 5 hrs \n" ); document.write( ": \n" ); document.write( "Let d = distance traveled upstream (also return distance downstream) \n" ); document.write( ": \n" ); document.write( "Write a time equation; time = dist/speed \n" ); document.write( ": \n" ); document.write( "time up + time back = 5 hrs \n" ); document.write( " \n" ); document.write( "Multiply by 36 to clear the denominators, results: \n" ); document.write( "3d + 2d = 36(5) \n" ); document.write( "5d = 180 \n" ); document.write( "d = 36 miles upstream \n" ); document.write( ": \n" ); document.write( "Check solution by finding the time for each way \n" ); document.write( " \n" ); document.write( "3 + 2 = 5 hrs \n" ); document.write( " |