document.write( "Question 802379: Distance Traveled. A private airplane leaves Midway airport and flies due east at a speed of 180km/h. Two hours later, a jet leaves and flies due east at a speed of 900km/h. How far from the airport will the jet overtake the private plane?\r
\n" );
document.write( "\n" );
document.write( "I have to solve this using the 5 steps to problem solving. So, far for step 1. I put Let x= the distance where the jet overtakes the plane, but I am not sure if this is right or what formula I would even use in order to list the other 4 steps properly. \n" );
document.write( "
Algebra.Com's Answer #483964 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A private airplane leaves Midway airport and flies due east at a speed of 180km/h. \n" ); document.write( " Two hours later, a jet leaves and flies due east at a speed of 900km/h. \n" ); document.write( " How far from the airport will the jet overtake the private plane? \n" ); document.write( ": \n" ); document.write( "I would do it this way. \n" ); document.write( "Let t = time required for the jet to overtake the slower plane \n" ); document.write( "then \n" ); document.write( "(t+2) = travel time of the slower plane when overtaken \n" ); document.write( ": \n" ); document.write( "When this happens they will have traveled the same distance \n" ); document.write( "Write a dist equation: dist = speed * time \n" ); document.write( "; \n" ); document.write( "900t = 180(t+2) \n" ); document.write( "900t = 180t + 360 \n" ); document.write( "900t - 180t = 360 \n" ); document.write( "720t = 360 \n" ); document.write( "t = 360/720 \n" ); document.write( "t = .5 hrs, a half hour for the jet to overtake the slower plane \n" ); document.write( ": \n" ); document.write( "Now find the distance \n" ); document.write( "900 * .5 = 450 mi \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Confirm this solution by finding the distance with the slower plane \n" ); document.write( "2.5(180) - 450 mi also \n" ); document.write( " |