document.write( "Question 1155618: Alexa makes a journey of 430km, traveling 160km by bus and 270km by car. If the car
\n" ); document.write( "averages 10km/h faster than the bus and the whole journey takes 5 hours, what is the
\n" ); document.write( "speed of the car?
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Algebra.Com's Answer #778238 by MathTherapy(10555)\"\" \"About 
You can put this solution on YOUR website!
Alexa makes a journey of 430km, traveling 160km by bus and 270km by car. If the car
\n" ); document.write( "averages 10km/h faster than the bus and the whole journey takes 5 hours, what is the
\n" ); document.write( "speed of the car?
\n" ); document.write( "
Once again, this can be done MUCH, MUCH simpler! No need to use the quadratic equation formula!
\n" ); document.write( "Let the car's speed be S
\n" ); document.write( "Then the bus' speed = S - 10
\n" ); document.write( "We then get the following TIME equation: \"matrix%281%2C3%2C+160%2F%28S+-+10%29+%2B+270%2FS%2C+%22=%22%2C+5%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+32%2F%28S+-+10%29+%2B+54%2FS%2C+%22=%22%2C+1%29\" ------ Factoring out GCF, 5, in numerator
\n" ); document.write( "32S + 54(S - 10) = S(S - 10) -------- Multiplying by LCD, S(S - 10)
\n" ); document.write( "\"matrix%281%2C3%2C+32S+%2B+54S+-+540%2C+%22=%22%2C+S%5E2+-+10S%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+S%5E2+-+10S+-+86S+%2B+540%2C+%22=%22%2C+0%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+S%5E2+-+96S+%2B+540%2C+%22=%22%2C+0%29\"
\n" ); document.write( "(S - 90)(S - 6) = 0
\n" ); document.write( "S, or speed of car = \"highlight_green%28matrix%281%2C2%2C+90%2C+%22km%2Fh%22%29%29\" OR S = 6 (ignore) \n" ); document.write( "
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