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Two crews are laying blacktop on a road. They start at the same time at opposite ends of a 18-mile road and work toward one another. One crew lays blacktop at an average rate of 0.4 mile a day faster than the other crew. If the two crews meet after 5 days, find the rate of each crew.
total road length is 36 miles. If one crew’s rate is x miles/day, the other is 1.4x miles/day. The collective distance per day is x+1.4x, so in five days the distance is 5(x+1.4x). Set that equal to the total distance: 5(x+1.4x)=36 simplify: x+1.4x=7.2 x(1+1.4)=7.2 x(2.4)=7.2 x=3
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