document.write( "Question 610894: After a sailboat had been on the water for 3 h, a change in the wind direction reduced the average speed of the boat by 7 mph. The entire distance sailed was 77 mi. The total time spent sailing was 7 h. How far did the sailboat travel in the first 3 h? \n" ); document.write( "
Algebra.Com's Answer #384913 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! After a sailboat had been on the water for 3 h, a change in the wind direction reduced the average speed of the boat by 7 mph. \n" ); document.write( " The entire distance sailed was 77 mi. The total time spent sailing was 7 h. \n" ); document.write( " How far did the sailboat travel in the first 3 h? \n" ); document.write( ": \n" ); document.write( "let s = original speed before the wind change \n" ); document.write( "then \n" ); document.write( "(s-7) = reduced speed \n" ); document.write( ": \n" ); document.write( "If the first part was 3 hrs, the 2nd part would be 7-3 = 4 hrs \n" ); document.write( ": \n" ); document.write( "Write a distance equation; dist = speed * time \n" ); document.write( ": \n" ); document.write( "3s + 4(s-7) = 77 \n" ); document.write( "3s + 4s - 28 = 77 \n" ); document.write( "7s = 77 + 28 \n" ); document.write( "7s = 105 \n" ); document.write( "s = 105/7 \n" ); document.write( "s = 15 mph for the 1st 3 hrs \n" ); document.write( "then \n" ); document.write( "3 * 15 = 45 mi traveled in the 1st three hrs \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this, find the total dist \n" ); document.write( "45 + 4(8) = 77 \n" ); document.write( " |