SOLUTION: Rob drives 550 miles home in one hour less than it takes Mary to drive the same route. Rob's average speed is 8 mph faster than Mary's. How fast does each drive.

Question 28741: Rob drives 550 miles home in one hour less than it takes Mary to drive the same route. Rob's average speed is 8 mph faster than Mary's. How fast does each drive.

Answer by Paul(988) (Show Source): You can put this solution on YOUR website!
MAry's speed = x
Rob's = x+8
Total milies driven by them both = 550.
time taken = one hour less = -1 so x+8-x=1

Equation:

550[(x+8)-(x)]=(x)(x+8)

simplfy get two solutions.
Delete the negative answer.

x=58 (rounded)
58+8=66

Hence, Mary's speed is 58mph and Rob's speed is 66 mph.
Paul.
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