document.write( "Question 468210: A trucker traveled 160 miles in one direction during a snow storm. The return trip in rainy weather was accomplished at double the speed and took 5 hours less time. Find the speed going \n" ); document.write( "

Algebra.Com's Answer #321254 by stanbon(75887) $\"\"$ $\"About$

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A trucker traveled 160 miles in one direction during a snow storm. The return trip in rainy weather was accomplished at double the speed and took 5 hours less time. Find the speed going
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\n" ); document.write( "1st leg DATA:
\n" ); document.write( "distance = 160 miles ; rate = r mph ; time = d/r = 160/r hrs
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\n" ); document.write( "Return leg DATA:
\n" ); document.write( "distance = 160 miles ; rate = 2r mph ; time = 160/(2r) hrs
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\n" ); document.write( "Equation:
\n" ); document.write( "1st time - 2nd time = 5 hrs
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\n" ); document.write( "160/r - 160/(2r) = 5 hrs
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\n" ); document.write( "Multiply thru by 2r to get:
\n" ); document.write( "320 -160 = 10r
\n" ); document.write( "---
\n" ); document.write( "160 = 10r
\n" ); document.write( "r = 16 mph (1st leg speed)
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\n" ); document.write( "2r = 32 mph (2nd leg speed)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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