Alexis and Ravi started out 380 miles apart. Ravi was traveling at a rate that was 10 mph slower than Alexis' rate. They met after Ravi had been traveling for 4 hrs and Alexis had been traveling for 3 hrs. How fast did Alexis travel? Round to the nearest whole number if necessary.
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Let r be Alexis' speed. Then r-10 is Ravi's speed. Speed times Time = Distance. Refer to the equation below:\[3r+3(r-10)\text{ = }380-1(r-10)\]The LHS is the total distance both moved in 3 hours. The RHS is the distance remaining after Ravi traveled 1 hour by himself. Solve the equation for r. r, Alexis' speed, = 60 mph.
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