document.write( "Question 252121: A bus trip takes 1 1/2 hours. By plane, the same trip is 30 minutes. How many times faster is it to go by plane? \n" ); document.write( "

Algebra.Com's Answer #183885 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
A bus trip takes 1 1/2 hours. By plane, the same trip is 30 minutes. How many times faster is it to go by plane?
\n" ); document.write( "---------
\n" ); document.write( "Bus DATA:
\n" ); document.write( "time = (3/2) hrs ; distance = x miles ; rate = d/t = x/(3/2)= (2x/3) mph
\n" ); document.write( "----------------
\n" ); document.write( "Plane DATA:
\n" ); document.write( "time = (1/2) hr ; distance = x miles ; rate = x/(1/2) = 2x mph
\n" ); document.write( "--------------------
\n" ); document.write( "Compare the rates:
\n" ); document.write( "plane speed = k*bus speed
\n" ); document.write( "2x = k*(2/3)x
\n" ); document.write( "k = 3
\n" ); document.write( "---
\n" ); document.write( "The plane is 3 times as fast as the bus.
\n" ); document.write( "-------------
\n" ); document.write( "Shorter Version:
\n" ); document.write( "The plane takes (1/3) the time of the bus to cover the same distance.
\n" ); document.write( "Therefore the plane goes 3 times faster.
\n" ); document.write( "-------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );