document.write( "Question 1015582: if the speed limit is decreased by 10 km/h on a 100 km stretch of a highway, the trip will take a half hour longer than usual. what is the usual speed limit \n" ); document.write( "
Algebra.Com's Answer #631954 by MathTherapy(10556)\"\" \"About 
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if the speed limit is decreased by 10 km/h on a 100 km stretch of a highway, the trip will take a half hour longer than usual. what is the usual speed limit
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Let usual speed limit be S
\n" ); document.write( "Then time taken at usual speed = \"100%2FS\"
\n" ); document.write( "Decreasing the speed makes the new speed, S – 10
\n" ); document.write( "Time taken at new speed: \"100%2F%28S+-+10%29\"
\n" ); document.write( "We then get: \"100%2FS+=+100%2F%28S+-+10%29+-+1%2F2\"
\n" ); document.write( "100(2)(S – 10) = 100(2S) – S(S – 10) ------- Multiplying by LCD, 2S(S – 10)
\n" ); document.write( "\"200S+-+2000+=+200S+-+S%5E2+%2B+10S\"
\n" ); document.write( "\"S%5E2+-+200S+-+10S+%2B+200S+-+2000+=+0\"
\n" ); document.write( "\"S%5E2+-+10S+-+2000+=+0\"
\n" ); document.write( "(S - 50)(S + 40) = 0
\n" ); document.write( "S, or original speed limit = \"highlight_green%28matrix%281%2C2%2C50%2C+%22km%2Fh%22%29%29\" \n" ); document.write( "
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