document.write( "Question 231060: An elevator went from the bottom to the top of a tower at an average speed of 4m/s, remained at the top for 90 s, and then returned to the bottom at 5 m/s. If the total elapsed was 4.5 min, how high is the tower? \n" ); document.write( "
Algebra.Com's Answer #171318 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! An elevator went from the bottom to the top of a tower at an average speed of \n" ); document.write( " 4m/s, remained at the top for 90 s, and then returned to the bottom at 5 m/s. \n" ); document.write( " If the total elapsed was 4.5 min, how high is the tower? \n" ); document.write( ": \n" ); document.write( "Change 4.5 min to 270 sec \n" ); document.write( "Elevator travel time,(remains at top for 90 sec): \n" ); document.write( "270 - 90 = 180 sec \n" ); document.write( ": \n" ); document.write( "Let t = time for elevator to go to the top \n" ); document.write( "Then \n" ); document.write( "(180-t) = time to return to bottom \n" ); document.write( ": \n" ); document.write( "Write a distance (height) equation: dist = speed * time \n" ); document.write( "Dist up = dist down \n" ); document.write( "4t = 5(180-t) \n" ); document.write( "4t = 900 - 5t \n" ); document.write( "4t + 5t = 900 \n" ); document.write( "9t = 900 \n" ); document.write( "t = 100 sec \n" ); document.write( "; \n" ); document.write( "Use this value to find the dist up: \n" ); document.write( "4 * 100 = 400 meters high \n" ); document.write( "; \n" ); document.write( "Check solution using return equation \n" ); document.write( "5(180 - 100) = 400 meter high \n" ); document.write( " |