Question

A turtle can walk \dfrac{1}{12}
12
1
​
start fraction, 1, divided by, 12, end fraction of a kilometer in an hour. The turtle is \dfrac15
5
1
​
start fraction, 1, divided by, 5, end fraction of a kilometer away from a pond.
At this speed, how long will it take the turtle to reach the pond?

Answer 1

Given

• $s=\dfrac{1}{12}$ kilometer/hour

Let the speed be $s$.

• $d=\dfrac{1}{5}$ kilometer

Let the distance be $d$.

• $t=$? hour

Let the time be $t$.

Solution

The speed is the ratio of distance and time, so $\mathrm{speed=\dfrac{distance}{time} }$.

$\Longleftrightarrow \dfrac{1}{12}= \dfrac{\dfrac{1}{5} }{t}$

$\Longleftrightarrow \dfrac{1}{12} =\dfrac{1}{5t}$

$\Longleftrightarrow 5t=12$ $\therefore t=\dfrac{12}{5}$

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

Learn More

• 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?

$\dfrac{\dfrac{a}{b} }{\dfrac{c}{d} } =\dfrac{a}{b} \div \dfrac{c}{d}$

   $=\dfrac{a}{b} \times \dfrac{d}{c}$

   $=\dfrac{ad}{bc}$

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

Answer 2

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

${\boxed{\pink{\underline{\frak {Time = \dfrac{Distance}{Speed}}}}}}$

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.