Mathematics: Use dimensional analysis to determine which rate is greater. Tortoise A walks 71.0 feet per hour and tortoise B walks 12 inches per minute. Which tortoise travels faster? Complete the explanation.

The answer is 14 trust me I did this one....

Use dimensional analysis to determine which rate

stayc12183

25.09.2021

Tortoise A: see below

Step-by-step explanation:

Let's convert Tortoise B's rate of speed to feet per hour. To do so, we can use dimensional analysis and our knowledge of conversion rates.

$\displaystyle \frac{12 \ in}{1 \ min}$

Multiply this rate by 60 minutes per 1 hour.

$\displaystyle \frac{12 \ in}{1 \ min} \times \frac{60\ min}{1\ hr}$

Multiply this rate by 1 foot per 12 inches.

$\displaystyle \frac{12 \ in}{1 \ min} \times \frac{60\ min}{1\ hr} \times \frac{1 \ ft}{12 \ in}$

By canceling out the units, we can see that ft/hr is left. This is our final answer's unit.

$\displaystyle \frac{12 \ in}{1 \ min} \times \frac{60\ min}{1\ hr} \times \frac{1 \ ft}{12 \ in} = \frac{720 \ ft} {12\ hr} = 60 \ \frac{ft}{hr}$

Tortoise B travels at a rate of 60 ft per hour, which is less than Tortoise A's speed, 71 ft per hour. Therefore, Tortoise A travels faster.

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