Problema Solution

Ray and Sue leave the baseball stadium at the same and head in the same direction. After 6 Hours, Sue is 42 miles ahead of Ray. Sue's speed is 1 more than 2 times Ray's speed. Find the speeds of Ray and Sue

Answer provided by our tutors

let


r = the speed of Ray


s = the speed of Sue


t = 6 hr


Sue's speed is 1 more than 2 times Ray's speed:


s = 1 + 2r


after 6 Hours, Sue is 42 miles ahead of Ray:


6s = 6r + 42 divide both sides by 6


s = r + 7


by solving the system of equations:


s = 1 + 2r


s = r + 7


we find:


s = 13 mph


r = 6 mph


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Ray's speed is 6 mph.


Sue's speed is 13 mph.