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Samuel started to walk to school at 6:00 A.M.,
\n" ); document.write( " his brother started to walk at a rate 2 kilometers per hour faster.
\n" ); document.write( " He overtook him at 6:45 A.M.
\n" ); document.write( " Find the rate at which each boy walked.
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\n" ); document.write( "I don't think we have enough information to find a unique solution to this
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\n" ); document.write( "From the given information we know Sam walked .75 hrs
\n" ); document.write( "Let's assume Bro left at 6:15, then his walking time is .5 hrs
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\n" ); document.write( "we know they walked the same dist
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\n" ); document.write( "Let r = Sam's rate
\n" ); document.write( "then
\n" ); document.write( "(r+2) = Bro's rate
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\n" ); document.write( "Dist = rate * time
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\n" ); document.write( "Sam's dist = Bro's dist
\n" ); document.write( ".75r = .5(r+2)
\n" ); document.write( ".75r = .5r + 1
\n" ); document.write( ".75r - .5r = 1
\n" ); document.write( ".25r = 1
\n" ); document.write( "mult both sides by 4
\n" ); document.write( "r = 4 km/h is Sam's rate
\n" ); document.write( "and
\n" ); document.write( "4 + 2 = 6 km/hr is Bro's rate
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\n" ); document.write( "Another solution is possible if Bro leaves at 6:30
\n" ); document.write( "Then Bro's walking time is .25 hr
\n" ); document.write( "Sam's dist = Bro's dist
\n" ); document.write( ".75r = .25(r+2)
\n" ); document.write( ".75r = .25r + .5
\n" ); document.write( ".75r - .25r = .5
\n" ); document.write( ".5r = .5
\n" ); document.write( "r = 1 km/h is Sam's rat
\n" ); document.write( "and
\n" ); document.write( "1 + 2 = 3 km/hr is Bro's rate\r
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