Question 345962: Nicholas Thompson begins a long-distance walk at a rate of 4 mph. Forty-five minutes after he leaves, his wife, Kristin, realizes that Nicholas has forgotten his wallet. Kristin gets on her bicycle and begins riding at a rate of 24 mph along the same path that Nicholas took.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Nicholas Thompson begins a long-distance walk at a rate of 4 mph.
Forty-five minutes after he leaves, his wife, Kristin, realizes that Nicholas has forgotten his wallet.
Kristin gets on her bicycle and begins riding at a rate of 24 mph along the same path that Nicholas took.
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Nicholas DATA:
rate = 4 mph ; time = x hrs ; distance = 4x miles
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Kristin DATA:
rate = 24 mph ; time = x-(3/4) hrs ; distance = 24[x-(3/4)] miles
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Equation:
distance = distance
4x = 24x-18
20x = 18
x = 9/10 mile (distance at which Kristine will catch Nicholas)
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Cheers,
Stan H.
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