document.write( "Question 884702: A car travels 50 miles in the same time that a plane travels 180 miles. The speed of the plane is 143 miles per hour faster than the speed of the car. Find the speed of the car \n" ); document.write( "

Algebra.Com's Answer #534583 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+s+\"$ = the speed of the car in mi/hr
\n" ); document.write( " $\"+s+%2B+143+\"$ = the speed of the plane in mi/hr
\n" ); document.write( "----------------------------
\n" ); document.write( "Let $\"+t+\"$ = time in hrs for both
\n" ); document.write( "Equation for car:
\n" ); document.write( "(1) $\"+50+=+s%2At+\"$
\n" ); document.write( "Equation for plane:
\n" ); document.write( "(2) $\"+180+=+%28+s%2B143+%29%2At+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "(2) $\"+180+=+s%2At+%2B+143t+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+s+=+50%2Ft+\"$
\n" ); document.write( "----------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+180+=+%2850%2Ft%29%2At+%2B+143t+\"$
\n" ); document.write( "(2) $\"+180+=+50+%2B+143t+\"$
\n" ); document.write( "(2) $\"+143t+=+130+\"$
\n" ); document.write( "(2) $\"+t+=+.909+\"$
\n" ); document.write( "---------------
\n" ); document.write( "(1) $\"+s+=+50%2Ft+\"$
\n" ); document.write( "(1) $\"+s+=+50%2F.909+\"$
\n" ); document.write( "(1) $\"+s+=+55+\"$
\n" ); document.write( "------------------
\n" ); document.write( "The speed of the car is 55 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+180+=+%28+s%2B143+%29%2At+\"$
\n" ); document.write( "(2) $\"+180+=+%28+55+%2B+143+%29%2A.909+\"$
\n" ); document.write( "(2) $\"+180+=+198%2A.909+\"$
\n" ); document.write( "(2) $\"+180+=+180+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
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