document.write( "Question 557036: two families who live 80 km apart met at a park between their homes for a picnic. How long did each drive if both traveled at a rate of 50 km/h and one drive 10 minutes longer than the other. \n" ); document.write( "

Algebra.Com's Answer #362449 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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two families who live 80 km apart met at a park between their homes for a picnic.
\n" ); document.write( " How long did each drive if both traveled at a rate of 50 km/h and one drive 10 minutes longer than the other.
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\n" ); document.write( "Change 10 min to 1/6 hr
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\n" ); document.write( "Let t = travel time of one family
\n" ); document.write( "then
\n" ); document.write( "(t+ $\"1%2F6\"$ ) = travel time of the other family
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\n" ); document.write( "Write a distance equation; dist = speed * time
\n" ); document.write( "50t + 50(t+ $\"1%2F6\"$ ) = 80
\n" ); document.write( "simplify divide by 10
\n" ); document.write( "5t + 5(t+ $\"1%2F6\"$ ) = 8
\n" ); document.write( "5t + 5t + $\"5%2F6\"$ = 8
\n" ); document.write( "10t + $\"5%2F6\"$ = 8
\n" ); document.write( "mult by 6 to get rid of the fraction
\n" ); document.write( "60t + 5 = 48
\n" ); document.write( "60t = 48 - 5
\n" ); document.write( "60t = 43
\n" ); document.write( "t = 43/60 hrs
\n" ); document.write( "which is 43 minutes travel time of the 1st family, then obviously,
\n" ); document.write( "53 min is the travel time of the 2nd family
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\n" ); document.write( "We can confirm this by finding the total distance traveled
\n" ); document.write( "43/60 * 50 = 35.83 km
\n" ); document.write( "53/60 * 50 = 44.17 km
\n" ); document.write( "------------------------
\n" ); document.write( "total traveled: 80 km
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