SOLUTION: emily and Camille started from the same city and drove in opposite directions on the freeway. After 3 hours they were 354 miles apart. If they had gone in the same direction, Emily
Question 566561: emily and Camille started from the same city and drove in opposite directions on the freeway. After 3 hours they were 354 miles apart. If they had gone in the same direction, Emily would have been 18 miles ahead of Camille. How fast did each woman drive? Found 2 solutions by solver91311, stanbon:Answer by solver91311(24713) (Show Source):
Since they were traveling in opposite directions, they were moving apart at the sum of their speeds. Since they were 354 miles apart in 3 hours, the sum of their speeds must be 116 mph. Had they been going in the same direction, their distance apart would have been a function of the difference in their speeds. 18 miles in 3 hours is 6 mph difference.
Solve the 2X2 system.
John
My calculator said it, I believe it, that settles it
You can put this solution on YOUR website! emily and Camille started from the same city and drove in opposite directions on the freeway. After 3 hours they were 354 miles apart.
Let e be Emily's rate; let c be Camille's rate
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distance + distance = 354 miles
3e + 3c = 354
e + c = 118
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If they had gone in the same direction, Emily would have been 18 miles ahead of Camille. How fast did each woman drive?
3e - 3c = 18
e - c = 6
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Two equations:
e + c = 118
e - c = 6
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Add and solve for "e":
2e = 124
e = 62 mph (Emily's rate)
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Solve for "c":
e + c = 118
62 + c = 118
c = 56 mph (Camille"s rate)
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Cheers,
Stan H.
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