document.write( "Question 539272: In a race, if a dog going 37 mph gets a headstart of 12 yards, how long will it take a dog going 38 mph to catch up? \n" ); document.write( "

Algebra.Com's Answer #353379 by stanbon(75887) $\"\"$ $\"About$

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In a race, if a dog going 37 mph gets a headstart of 12 yards, how long will it take a dog going 38 mph to catch up?
\n" ); document.write( "---
\n" ); document.write( "12 yds = 12/1760 = 0.0068 miles
\n" ); document.write( "--------------------
\n" ); document.write( "1st dog DATA:
\n" ); document.write( "rate = 37 mph ; distance = x miles ; time = x/37 hrs
\n" ); document.write( "----
\n" ); document.write( "2nd dog DATA:
\n" ); document.write( "rate = 38 mph ; distance = x+0.0068 miles; time = (x+0.0068)/38 hrs
\n" ); document.write( "========================
\n" ); document.write( "Equation:
\n" ); document.write( "time = time
\n" ); document.write( "x/37 = (x+0.0068)/38
\n" ); document.write( "38x = 37x + 37*0.0068
\n" ); document.write( "x = 0.2516 miles
\n" ); document.write( "---
\n" ); document.write( "time = x/37 = 0.2516/37 = 0.0068 hrs = 0.4080 minutes
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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