An ant crawls at a rate of 2 1/6 ft per minute.

At this rate, how long does it take the ant to crawl a distance of 5 1/5 ft?

Enter your answer as a mixed number in simplest form in the box.

Respuesta :

2 2/5 minutes because 5 1/5 divided by 2 1/6 equals 2 2/5

Answer: It will take 2[tex]\frac{2}{5}[/tex] minutes to crawl the given distance

Step-by-step explanation:

Given :Ant crawls at the rate  2[tex]\frac{1}{6}[/tex] ft /min

=[tex]\frac{12+1}{6}[/tex] ft

=[tex]\frac{13}{6}[/tex] ft

Distance: 5[tex]\frac{1}{5}[/tex] ft

=[tex]\frac{25+1}{5}[/tex] ft

=[tex]\frac{26}{5}[/tex] ft

Time taken =[tex]\frac{Distance}{Speed}[/tex]

=[tex]\frac{26/5}{13/6}[/tex]

[tex]\frac{26*6}{5*13}[/tex]

Dividing numerator and denominator by 13

=[tex]\frac{12}{5}[/tex]

=2[tex]\frac{2}{5}[/tex] min

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