A tortoise takes 1

Question

4
1
​
hours to walk
6
5
​
miles. At this rate, how long does it take her to walk 1 mile?
You need to divide
6
5
​
miles by
6
5
​
to get 1 mile. To keep the ratio the same, you also need to divide 1
4
1
​
by
6
5
​
. Start by writing 1
4
1
​
÷
6
5
​
as a multiplication expression.

÷
6
5
​

÷
6
5
​

Time (hours) Distance (miles)
1
4
1
​

6
5
​

? 1
1
4
1
​
÷
6
5
​

= 1
4
1
​
·

Answer 1

To solve for the time it takes the tortoise to walk 1 mile, we start by expressing the given division as a multiplication expression.

We have:

\[ \frac{141}{65} \div \frac{65}{65} = \frac{141}{65} \cdot \frac{1}{65} \]

This multiplication simplifies to:

\[ \frac{141 \cdot 1}{65 \cdot 65} = \frac{141}{65^2} \]

However, we only want to find how long it takes for 1 mile. A more straightforward way to calculate the time for one mile is to first find the rate per mile.

We know the tortoise walks \( \frac{141}{65} \) hours to cover \( \frac{65}{65} = 1 \) mile.

Thus, we can set up the problem as follows:

1. Calculate time per mile:

\[ \text{Time for 1 mile} = \frac{141}{65} \div \frac{65}{65} \]

This is effectively:

\[ \text{Time for 1 mile} = \frac{141}{65} \]

To compute this, you can do the division:

\[ 141 \div 65 \approx 2.1692 \]

Therefore, it takes approximately \( 2.1692 \) hours to walk 1 mile.

Summary:

• The tortoise takes \( \frac{141}{65} \) hours to walk 1 mile, which can be approximated to about \( 2.17 \) hours.