document.write( "Question 1119232: During a charity ride Sally and Ruth each cycle 120 km. Ruth’s average speed for the journey is 2km faster than Sally’s average speed.
\n" ); document.write( "A) let Sally’s speed be x km/ h. Write expressions in terms of x, for the time needed by each girl to complete her journey.
\n" ); document.write( "B) if Ruth takes 40 minutes less time to compete the journey, write an expression and solve it to find Sally’s average speed during the charity ride
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Algebra.Com's Answer #734699 by josmiceli(19441)\"\" \"About 
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(A)
\n" ); document.write( "Equation for Sally's time:
\n" ); document.write( "\"+t%5B1%5D+=+120%2Fx+\"
\n" ); document.write( "Equation for Ruth's time:
\n" ); document.write( "\"+t%5B2%5D+=+120%2F%28+x%2B2+%29+\"
\n" ); document.write( "(B)
\n" ); document.write( "Note that you must convert minutes to hrs
\n" ); document.write( "since the speeds are in km/hr
\n" ); document.write( "\"+120%2Fx+-+40%2F60+=+120%2F%28+x%2B2+%29+\"
\n" ); document.write( "\"+120%2Fx+-+2%2F3+=+120%2F%28+x%2B2+%29+\"
\n" ); document.write( "Multiply both sides by \"+3%2Ax%2A%28+x%2B2+%29+\"
\n" ); document.write( "\"+120%2A3%2A%28+x%2B2+%29+-+2x%2A%28+x%2B2+%29+=+120%2A3%2Ax+\"
\n" ); document.write( "\"+360%2A%28+x%2B2+%29+-+2x%5E2+-+4x+=+360x+\"
\n" ); document.write( "\"+360x+%2B+720+-+2x%5E2+-+4x+=+360x+\"
\n" ); document.write( "\"+2x%5E2+%2B+4x+-+720+=+0+\"
\n" ); document.write( "\"+x%5E2+%2B2x+-+360+=+0+\"
\n" ); document.write( "complete the square
\n" ); document.write( "\"+x%5E2+%2B+2x+%2B+1+=+361+\"
\n" ); document.write( "\"+%28+x+%2B+1+%29%5E2+=+19%5E2+\"{
\n" ); document.write( "\"+x+%2B+1+=+19+\"
\n" ); document.write( "\"+x+=+18+\"
\n" ); document.write( "Saly's ave speed was 18 km/hr\r
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