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If you travel for #(7t)/60# hours at #(80r)/9# mi/h, how far have you gone?

Answer 1

Kennedy Adams

#:. Distance = (28rt) / 27# meters

Speed =#(80r)/9# m/hrs

Time = # (7t)/60# hrs

We know that,

#Speed = (Distance)/( Time)#

#:. Distance = Speed xx Time#

#:. Distance = (80r)/9 xx (7t) / 60#

#:. Distance = (4r)/9 xx (7t) / 3#

#:. Distance = (28rt) / 27# meters

You have gone #(28rt) / 27# meters .

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Answer 2
Eli Assouline
To find how far you have gone, you can multiply the rate of travel by the time traveled. So, in this case, you would multiply ( \frac{7t}{60} ) hours by ( \frac{80r}{9} ) miles per hour:

[ \text{Distance} = \left(\frac{7t}{60}\right) \times \left(\frac{80r}{9}\right) ]

[ \text{Distance} = \frac{7t \times 80r}{60 \times 9} ]

[ \text{Distance} = \frac{560tr}{540} ]

[ \text{Distance} = \frac{28tr}{27} ]

So, you have traveled ( \frac{28tr}{27} ) miles.
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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