document.write( "Question 1099113: A toddler takes off running down the sidewalk at 210 ft/min. One minute later, a worried mother runs after the child at 470 ft/min. After how many minutes will the mother overtake the toddler? \n" ); document.write( "

Algebra.Com's Answer #713512 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A toddler takes off running down the sidewalk at 210 ft/min.
\n" ); document.write( " One minute later, a worried mother runs after the child at 470 ft/min.
\n" ); document.write( " After how many minutes will the mother overtake the toddler?
\n" ); document.write( ":
\n" ); document.write( "Let t = running time of the mother
\n" ); document.write( "The toddler has a 1 min head start, therefore
\n" ); document.write( "(t+1) = running time of the toddler
\n" ); document.write( ":
\n" ); document.write( "When Mom catches child, they will have run the same distance
\n" ); document.write( "write a dist equation; dist = speed * time
\n" ); document.write( "Mom dist = child dist
\n" ); document.write( "470t = 210(t+1)
\n" ); document.write( "470t = 210t + 210
\n" ); document.write( "470t - 210t = 210
\n" ); document.write( "260t = 210
\n" ); document.write( "t = 210/260
\n" ); document.write( "t = .81 min or .81(60) = 48.6 sec, that's a fast Mommy! \n" ); document.write( "

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