document.write( "Question 286487: 1.Two cars leave at the same time. One car drives North at a rate of 65 m/hr and the other car drives south at a rate of 55 m/hr. In how many hours will the cars be 540 miles apart?\r
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Algebra.Com's Answer #207784 by texttutoring(324) $\"\"$ $\"About$

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We will make use of the formula D=VT, where D=distance, V=velocity (speed) and T=time\r
\n" ); document.write( "\n" ); document.write( "Let Dn,Vn = Distance travelled by the north car, velocity of the north car
\n" ); document.write( " Ds, Vs = Distance travelled by the south car, velocity of the south car\r
\n" ); document.write( "\n" ); document.write( "The times they travel are the same, because they left at the same time. So tn=ts=t\r
\n" ); document.write( "\n" ); document.write( "We know that the two distances, Dn and Ds, add up to 540 miles:\r
\n" ); document.write( "\n" ); document.write( "Dn + Ds = 540\r
\n" ); document.write( "\n" ); document.write( "Now put in the formulas D=VT, instead of Dn and Ds:\r
\n" ); document.write( "\n" ); document.write( "Vn*t + Vs*t = 540
\n" ); document.write( "65t + 55t = 540
\n" ); document.write( "120t = 540
\n" ); document.write( "t = 4.5 hours\r
\n" ); document.write( "\n" ); document.write( "The cars will be 540 miles apart in 4.5 hours. \n" ); document.write( "

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