A turtle can walk \dfrac{1}{12}
12
1
​
start fraction, 1, divided by, 12, end fraction of a kilometer i

2 thoughts on “A turtle can walk \dfrac{1}{12} <br /> 12<br /> 1<br /> ​ <br /> start fraction, 1, divided by, 12, end fraction of a kilometer i”

1. Answer:

   Given :–

   Distance covered by turtle = 1/5 km

   Speed of turtle = 1/12 km/h

   To Find :–

   Time taken

   Solution :–

   As we know that

   [tex]{\boxed{\pink{\underline{\frak {Time = \dfrac{Distance}{Speed}}}}}}[/tex]

   Time = (1/5)/(1/12)

   Time = 1/5 ÷ 1/12

   Time = 1/5 × 12/1

   Time = 12/5 hrs

   Therefore,

   • Time taken is 12/5 hrs.

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2. Given

   • [tex]s=\dfrac{1}{12}[/tex] kilometer/hour

   Let the speed be [tex]s[/tex].

   • [tex]d=\dfrac{1}{5}[/tex] kilometer

   Let the distance be [tex]d[/tex].

   • [tex]t=[/tex]? hour

   Let the time be [tex]t[/tex].

   Solution

   The speed is the ratio of distance and time, so [tex]\mathrm{speed=\dfrac{distance}{time} }[/tex].

   [tex]\Longleftrightarrow \dfrac{1}{12}= \dfrac{\dfrac{1}{5} }{t}[/tex]

   [tex]\Longleftrightarrow \dfrac{1}{12} =\dfrac{1}{5t}[/tex]

   [tex]\Longleftrightarrow 5t=12[/tex] [tex]\therefore t=\dfrac{12}{5}[/tex]

   The turtle spends [tex]\dfrac{12}{5}[/tex] hour, or [tex]2[/tex] hours [tex]24[/tex] minutes to reach the pond.

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   • What is a compound fraction?

   A fraction, which has fractions in either the numerator and denominator.

   • How is the calculation of a compound fraction done?

   [tex]\dfrac{\dfrac{a}{b} }{\dfrac{c}{d} } =\dfrac{a}{b} \div \dfrac{c}{d}[/tex]

   [tex]=\dfrac{a}{b} \times \dfrac{d}{c}[/tex]

   [tex]=\dfrac{ad}{bc}[/tex]

   Changing as division, then use multiplication of the inverse. Done!

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