Question 507362: Mr. Smith forgot his suitcase at home in his rush to leave on a business trip. His wife found the suitcase an hour later and decided to catch up to him to save him time. She knew he drives at an average speed of 55 mph. If Mrs. Smith leaves right away, travelling at 65 mph, how long will it take her to catch up?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Mr. Smith forgot his suitcase at home in his rush to leave on a business trip. His wife found the suitcase an hour later and decided to catch up to him to save him time. She knew he drives at an average speed of 55 mph. If Mrs. Smith leaves right away, travelling at 65 mph, how long will it take her to catch up?
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Mr DATA:
rate = 55 mph ; time = t hrs ; distance = 55t miles
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Mrs DATA:
rate = 65 mph ; time = (t-1)hrs ; distance = 65t-65 miles
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Equation:
distance = distance
55t = 65t - 65
10t = 65
t = 6.5 hrs (time the Mrs. will take to catch up)
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Cheers,
Stan H.
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