Q:

A snail moves 1/50 a mile in 5/6 of an hour. If the snail continues at this pace, how far, in miles, does it move in one hour?

Accepted Solution

A:
[tex] \dfrac{5}{6} \text { of an hour = } \dfrac{1}{50} \text { mile}[/tex]

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Find 1/6 hour :
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[tex] \dfrac{1}{6} \text { of an hour = } \dfrac{1}{50} \div 5 \text { mile}[/tex]

[tex] \dfrac{1}{6} \text { of an hour = } \dfrac{1}{50} \times \dfrac{1}{5} \text { mile}[/tex]

[tex] \dfrac{1}{6} \text { of an hour = } \dfrac{1}{250} \text { mile}[/tex]

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Find 6/6 hour ( 1 hour) :
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[tex] \dfrac{6}{6} \text { of an hour = } \dfrac{1}{250} \times 6 \text { mile}[/tex]

[tex] \dfrac{6}{6} \text { of an hour = } \dfrac{6}{250} \text { mile}[/tex]

[tex] \dfrac{6}{6} \text { of an hour = } \dfrac{3}{125} \text { mile}[/tex]

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Answer: It moves 3/125 mile in an hour.
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