SOLUTION: A set of breakdown trucks are located on a 120 kilometre stretch of highway from city A to city B, at distances 15 kms and 105 kms from city A. A car running between the cities wil

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Question 776736: A set of breakdown trucks are located on a 120 kilometre stretch of highway from city A to city B, at distances 15 kms and 105 kms from city A. A car running between the cities will breakdown at a random point along the highway.
a) What is the probability that a breakdown occurs more than 40 kms from help?
Answer by stanbon(75887) About Me  (Show Source):
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A set of breakdown trucks are located on a 120 kilometre stretch of highway from city A to city B, at distances 15 kms and 105 kms from city A. A car running between the cities will breakdown at a random point along the highway.
a) What is the probability that a breakdown occurs more than 40 kms from help?
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A...15km.....15+40=55km.....105-40=65km......105km.....120km=B
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Only the stretch from 55km to 65km is more than 40 km from help.
Only 10 km of the 120 km are more than 40 kms from help
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P(more than 40 kms from help) = 10/120 = 1/12
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Cheers,
Stan H.