SOLUTION: dana is 175 miles away from rosa they are traveling towards each other. if rosa travels 7mph faster than dana and they meet after 7 hours how fast was each traveling?
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Question 1091556: dana is 175 miles away from rosa they are traveling towards each other. if rosa travels 7mph faster than dana and they meet after 7 hours how fast was each traveling? Found 2 solutions by addingup, ikleyn:Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! R = D+7
R+D = 175/7 = 25mph
D+7+D = 25
2D = 18
D = 9
So Dana traveled at 9mph and Rosa at 9+7 = 16
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Check:
7 hours at 9mph = 63
7 hours at 16mph= 112
Total . . . . . . 175 Correct
Let x be the Dana' speed, in miles per hour.
Then Rosa' speed is (x +7) mph.
The equation is
7x + 7*(x+7) = 175.
and it represents the distance between them after 7 hours.
Simplify and solve it for x:
7x + 7x = 175 - 49,
14x = 126 ====> x = = 9.
Answer. Dana' speed is 9 mph. Rosa' speed is 9+7 = 16 mph.
