document.write( "Question 42823: A car leaves a city and travels east at 50mph. an hour later another car traveling at 70 mph, leaves the same city in pursuit of the first car. FIND\r
\n" ); document.write( "\n" ); document.write( "(a) how many hours will it take the second car to overtake the first car.
\n" ); document.write( "I got 2.5 hours
\n" ); document.write( "(b) how many miles will the cars be from the city when they meet? \n" ); document.write( "
Algebra.Com's Answer #27891 by aaaaaaaa(138)\"\" \"About 
You can put this solution on YOUR website!
(a) If the car has already traveled 50 mph, then it is this many miles away, in x hours after the second car has left:\r
\n" ); document.write( "\n" ); document.write( "\"50+%2B+50x\"\r
\n" ); document.write( "\n" ); document.write( "While the second car:\r
\n" ); document.write( "\n" ); document.write( "\"70x\"\r
\n" ); document.write( "\n" ); document.write( "The distance must be equal when they meet, so we have \"50+%2B+50x+=+70x\"\r
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

\n" ); document.write( "
\n" ); document.write( "

\n" ); document.write( " YOUR ANSWER\n" ); document.write( "


\n" ); document.write( "\n" ); document.write( "
    \n" ); document.write( "
  • This is an equation! Solutions: x=2.5.
    • \n" ); document.write( "
  • Graphical form: Equation \"50%2B50x=70x\" was fully solved.
  • Text form: 50+50x=70x simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+50%2B50x=70x+%29\"
    For tutors: simplify_cartoon( 50+50x=70x )
    • \n" ); document.write( "
  • If you have a website, here's a link to this solution.
    • \n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "
Look at \"highlight_red%28+50+%29%2B50%2Ax=70x\".
Moved \"50\" to the right of expression
It becomes \"50%2Ax%2Bhighlight_green%28+50+%29=70x\".
\n" ); document.write( "
Look at \"50%2Ax%2B50=highlight_red%28+70%2Ax+%29\".
Moved these terms to the left \"highlight_green%28+-70%2Ax+%29\"
It becomes \"50%2Ax%2B50-highlight_green%28+70%2Ax+%29=0\".
\n" ); document.write( "
Look at \"50%2Ax%2Bhighlight_red%28+50+%29-70%2Ax=0\".
Moved \"50\" to the right of expression
It becomes \"50%2Ax-70%2Ax%2Bhighlight_green%28+50+%29=0\".
\n" ); document.write( "
Look at \"highlight_red%28+50%2Ax+%29-highlight_red%28+70%2Ax+%29%2B50=0\".
Eliminated similar terms \"highlight_red%28+50%2Ax+%29\",\"highlight_red%28+-70%2Ax+%29\" replacing them with \"highlight_green%28+%2850-70%29%2Ax+%29\"
It becomes \"highlight_green%28+%2850-70%29%2Ax+%29%2B50=0\".
\n" ); document.write( "
Look at \"%28highlight_red%28+50+%29-highlight_red%28+70+%29%29%2Ax%2B50=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+-20+%29%29%2Ax%2B50=0\".
\n" ); document.write( "
Look at \"%28highlight_red%28+-20+%29%29%2Ax%2B50=0\".
Removed extra sign in front of \"-20\"
It becomes \"%28-highlight_green%28+20+%29%29%2Ax%2B50=0\".
\n" ); document.write( "
Look at \"highlight_red%28+%28-highlight_red%28+20+%29%29%2Ax+%29%2B50=0\".
Remove unneeded parentheses around factor \"highlight_red%28+20+%29\"
It becomes \"-highlight_green%28+20+%29%2Ax%2B50=0\".
\n" ); document.write( "
Look at \"highlight_red%28+-20%2Ax%2B50+%29=0\".
Solved linear equation \"highlight_red%28+-20%2Ax%2B50=0+%29\" equivalent to -20*x+50 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=2.5.

Universal Simplifier and Solver

\n" ); document.write( "
Done!

\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So, the time the second car took is really 2.5 hours.\r
\n" ); document.write( "\n" ); document.write( "For b, just substitute 70x for x = 2.5 and you'll get 175 miles. \n" ); document.write( "
\n" );