Question 387432
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Hi,  
   Maria rode three miles per hour faster than hector    
Let x  and (x + 3mph) represent Hector's and Maria's speed respectively
D = r*t 
question states***
 2hr*x  + 2hr(x+3mph) = 24mi
Solving for x
   4x + 6mi = 24mi
      4x = 18mi
       x = 4.5mph, Hector's speed.  Maria's speed was 7.5mph    (4.5ph + 3mph)

checking our answer***
  2hr*4.5mph + 2hr*7.5mph =  9mi + 15mi = 24mi