SOLUTION: Hannah traveled the 320 mile trip in 2 hours more than Anna. This was because Anna traveled twice as fast as Hannah. How fast did each travel and for how long?
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Question 642232: Hannah traveled the 320 mile trip in 2 hours more than Anna. This was because Anna traveled twice as fast as Hannah. How fast did each travel and for how long? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Hannah traveled the 320 mile trip in 2 hours more than Anna. This was because Anna traveled twice as fast as Hannah. How fast did each travel and for how long?
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Hannah DATA:
distance = 320 miles ; time = x + 2 hrs ; rate = 320/(x+2) mph
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Anna DATA:
distance = 320 miles ; time = x hrs ; rate = 320/x mph
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Equation:
320/x = 2[320/(x+2)]
1/x = 2/(x+2)
2x = x+2
x = 2 hrs
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Hannah's rate: 320/(x+2) = 320/4 = 80 mph
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Anna's rate: 320/x = 320/2 = 160 mph
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Cheers,
Stan H.
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