Question

In a recent snail race, a snail traveled a distance of 1 1/6 inches in 2 minutes.

Answer 1

what is the minute per inch

Answer 2

what is the minute per inch in fraction form

Answer 3

To analyze the snail's performance in the race, we can calculate its speed. The distance traveled by the snail is \(1 \frac{1}{6}\) inches, and this is equivalent to:

\[
1 \frac{1}{6} = 1 + \frac{1}{6} = \frac{6}{6} + \frac{1}{6} = \frac{7}{6} \text{ inches}
\]

The time taken is 2 minutes. To find the speed in inches per minute, we can use the formula:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]

Substituting the values we have:

\[
\text{Speed} = \frac{\frac{7}{6} \text{ inches}}{2 \text{ minutes}} = \frac{7}{6} \div 2 = \frac{7}{6} \times \frac{1}{2} = \frac{7}{12} \text{ inches per minute}
\]

Thus, the snail's speed was \(\frac{7}{12}\) inches per minute.

Answer 4

To find the time it takes for the snail to travel one inch, we can take the reciprocal of the speed we calculated earlier.

The snail's speed is \(\frac{7}{12}\) inches per minute. To find minutes per inch, we can calculate:

\[
\text{Minutes per inch} = \frac{1 \text{ inch}}{\text{Speed}} = \frac{1 \text{ inch}}{\frac{7}{12} \text{ inches per minute}}
\]

This can be simplified as follows:

\[
\text{Minutes per inch} = 1 \times \frac{12}{7} = \frac{12}{7} \text{ minutes per inch}
\]

So the snail takes \(\frac{12}{7}\) minutes to travel one inch, which is approximately \(1.714\) minutes per inch when calculated.

Answer 5

The time it takes for the snail to travel one inch, in fractional form, is \(\frac{12}{7}\) minutes per inch.

This fraction is already in its simplest form and can also be expressed as a mixed number:

\[
\frac{12}{7} = 1 \frac{5}{7} \text{ minutes per inch}
\]

Thus, the time it takes for the snail to travel one inch is \(\frac{12}{7}\) minutes per inch or \(1 \frac{5}{7}\) minutes per inch when expressed as a mixed number.