SOLUTION: A car travels a distance of 60 miles, the first half at 30 mph and the second half at 60 mph. If a headlight is equally likely to burn out at any time during the trip,what is the

Algebra ->  Probability-and-statistics -> SOLUTION: A car travels a distance of 60 miles, the first half at 30 mph and the second half at 60 mph. If a headlight is equally likely to burn out at any time during the trip,what is the       Log On


   

Question 312737: A car travels a distance of 60 miles, the first half at 30 mph and the second half
at 60 mph. If a headlight is equally likely to burn out at any time during the trip,what is the probability that it will burn out during the first 30 miles?
a 1/4 b 1/3 c 1/2 d 2/3 e 1
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A car travels a distance of 60 miles, the first half at 30 mph and the second half at 60 mph.
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If a headlight is equally likely to burn out at any time during the trip,what is the probability that it will burn out during the first 30 miles?
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1st 30 miles time = 30 mi/30 mph = 1 hr
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2nd 30 miles time = 30 mi/60 mph = 1/2 hr
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P(burn out in 1st 30 miles) = 1/(1 + 1/2) = 1/(3/2) = 2/3
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Cheers,
Stan H.
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a 1/4 b 1/3 c 1/2 d 2/3 e 1