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sertanlavr [38]
3 years ago
12

Bob takes the subway to work and uses an escalator at the railway station. If Bob runs up 8 steps of the escalator, then it take

s him 46.5 seconds to reach the top of the escalator. If he runs up 13 steps of the escalator, then it takes him only 39.0 seconds to reach the top. How many seconds would it take Bob to reach the top if he did not run up any steps of the escalator
Mathematics
1 answer:
gogolik [260]3 years ago
3 0
58.5 sec - it reduces the amount of time on the escalator by 1.5 sec for every step he runs.  Therefore 13(1.5) + 39 = 8(1.5) + 46.5
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The derivative follows from the fundamental theorem of calculus:

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We have

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so

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Step-by-step explanation:

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