document.write( "Question 411510: mr.stone started from home on a trip, planning to average 48 miles per hour. How fast must his son carl plan to travel in order to overtake him in 3 hours if carl started 30 minutes after his father? \n" ); document.write( "
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mr.stone started from home on a trip, planning to average 48 miles per hour. How fast must his son carl plan to travel in order to overtake him in 3 hours if carl started 30 minutes after his father?\r
\n" ); document.write( "\n" ); document.write( "stone speed = 48mph
\n" ); document.write( "in 3 hours he travels 48*3=144 miles
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\n" ); document.write( "let son's speed be be x mph more than Stne's speed
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\n" ); document.write( "Son's speed = 48+x
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\n" ); document.write( "Father starts 1/2 hour early
\n" ); document.write( "catch up distance = 24 miles
\n" ); document.write( "catch up time = 3 hours
\n" ); document.write( "time = distance / speed
\n" ); document.write( "3=24+144/(48+x)
\n" ); document.write( "3x+144 = 168
\n" ); document.write( "3x= 168-144
\n" ); document.write( "3x=24
\n" ); document.write( "x=8
\n" ); document.write( "...
\n" ); document.write( "son has to travel 48+8 =56 mph.\r
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