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12 March, 16:24

The time it takes you to get to campus varies inversely as your driving rate. averaging 20 miles per hour in terrible traffic, it takes you 1.25 hrs to get to campus. how long would the trip take averaging 55 miles per hour?

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  1. 12 March, 19:21
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    Given that the time taken to get to campus is inversely proportional to driving rate, let the time be t and rate be r, thus the function will be written as:'

    t=k/r

    where

    k is the constant of proportionality given by:

    k=tr

    when r=20 mph, t=1.25 hrs

    thus

    k=20*1.25

    k=25 miles

    thus the formula is:

    t=25/r

    when r=55 mph, the value of t will be:

    t=25/55

    t=5/11 hours
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