It takes Maria, traveling at 24mph, 45 minutes longer to go a certain distance than it takes Stephen traveling at 51mph. Find the distance traveled.

Answer 1

24(3/4+s) = 51s 45 minutes = 3/4 of an hour

51s - 24s = 24(3/4) = 18

s = 18/27 =2/3 hour = 40 minutes

distance = d = rt = 51(2/3) = 34 miles

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24(3/4 +2/3) = 18+16 = 34 miles for Maria as well as for Stephen