document.write( "Question 558130: A passenger plane flew to moscow and back. The trip there took five hours and the trip back took nine hours. It averaged 144 km/h faster on the trip there than on the return trip. Find the passenger plane's average speed on the outbound trip.\r
\n" ); document.write( "\n" ); document.write( "O.k so I did have a go at it Trying to use a system of equations using the substitution method to eliminate one unknown but it didn't work. I will try and explain what I was playing around with:\r
\n" ); document.write( "\n" ); document.write( "D1 = Distance there D2 = Distance back ( but not sure if I needed this as it is same Distance )
\n" ); document.write( "Average Speed = S \r
\n" ); document.write( "\n" ); document.write( "D1/5 + D2/9 = S\r
\n" ); document.write( "\n" ); document.write( "D1/5 = D2/9+144 ( I tried substituting this in )\r
\n" ); document.write( "\n" ); document.write( "D2/9+144 + D2/9 = S ( then I combined the like terms )\r
\n" ); document.write( "\n" ); document.write( "D2/18+144 = s ( but this is where I realized I had failed as I still had 2 variables.\r
\n" ); document.write( "\n" ); document.write( "Please help me someone I am so bad at word problems and I would love to be confident at them. \r
\n" ); document.write( "\n" ); document.write( "P.S I wasn't sure about which was the outbound trip, I guessed it meant the trip back.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #363073 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
You almost had it, and then lost your sense of direction.
\n" ); document.write( "You had \"D%5B1%5D%2F5+=+D%5B2%5D%2F9%2B144\" and you were saying it was the same distance both ways.
\n" ); document.write( "So you could have written \"D%2F5=D%2F9%2B144\"
\n" ); document.write( "Having fractions/denominators makes it look hard, but you could have solved it to find
\n" ); document.write( "D=1620 km
\n" ); document.write( "Now you have the distance. You already had the times.
\n" ); document.write( "The only question is the average speed in the outbound trip. I believe outbound is the trip going out there, to Moscow, so the time was 5 hours and the speed was 1620 km/5 h = 324km/h
\n" ); document.write( "
\n" );