SOLUTION: Mary and Bill live 210 miles apart. They start at the same time and travel toward each other. Mary's speed is 7 mph greater than Bill's. If they meet in 2 hours, find thei

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Question 900496: Mary and Bill live
210 miles apart. They start at the same time and travel toward each other. Mary's speed is
7 mph greater than Bill's. If they meet in
2 hours, find their speeds?

Found 2 solutions by ewatrrr, JulietG:
Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!
d = rt = tr
2(b+7) + 2b = 210
4b = 196
b = 49mph, Bill's speed. Mary went 56mph

Answer by JulietG(1812) (Show Source):
You can put this solution on YOUR website!
210 = 2(m+b)
M = B+7
Substitute the value of M from the bottom equation into the top
210= 2(m+b) which is the same as 105 = (m+b)
105= M+B
105 = (B+7) + B
105 = 2B + 7
Subtract 7 from each side
98 = 2B
Divide each side by 2
49 = B
If Bill is traveling at 49mph, then Mary is traveling at 56mph
In two hours, Bill travels 98 miles and Mary travels 112 miles
98+112 = 210