<PRE><B>Question 682028</B>
let carlos drive x miles
speed carlos = 53mi/h

sheri drives 258-x miles
speed sheri 51 mi/h

Time carlos drove + time cheri drove = 5 hours

t=d/r
x/53 + (258-x)/51 = 5

LCD = (53)*(51)

{{{(51x+53(258-x))/((53)*(51))=5}}}

51x+13674-53x=5*51*53

-2x=-13674+13515
-2x=-159
/-2
x=79.5 miles

Sheri drove for 258-79.5

=178.5

t=d/r
sheri drove for 178.5/51

= 3.5 hours





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