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Question 767050: Two children own two-way radios that have a maximum range of 3 miles. One leaves a certain point at 1:00 P.M., walking due north at a rate of 2 mi/hr. The other leaves the same point at 1:15 P.M., traveling due south at 8 mi/hr. For how many minutes after 1:00 P.M. will they be able to communicate with one another? (Round your answer to the nearest minute.)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Two children own two-way radios that have a maximum range of 3 miles. One leaves a certain point at 1:00 P.M., walking due north at a rate of 2 mi/hr. The other leaves the same point at 1:15 P.M., traveling due south at 8 mi/hr. For how many minutes after 1:00 P.M. will they be able to communicate with one another? (Round your answer to the nearest minute.)
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North-bound DATA:
rate = 2 mph ; distance = 3 miles: time = d/r = 3/2 hr
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South bound DATA:
rate = 8 mph ; distance = 3 miles ; time = d/r = 3/8 hr
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Time after 1:15 south can communicate: (3/8)*60 min = 22.5 min
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Total communication time: 15+22.5 = 37.5 minutes
Round up to 38 minutes.
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Cheers,
Stan H.
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