Question

Kelsey jogs 60 feet in 6 seconds. What is this rate in miles per hour? Round to the nearest tenth.

Answer 1

To find Kelsey's jogging rate in miles per hour, we convert 10 ft/s to miles per hour using unit conversion factors. The calculations give us a rate of 6.8 miles per hour when rounded to the nearest tenth.

Step-by-step explanation:

To convert Kelsey's jogging rate from feet per second to miles per hour, we have to perform a series of unit conversions.

1. First, convert feet to miles by using the conversion factor 1 mile = 5,280 feet.
2. Then, convert seconds to hours using the factor 1 hour = 3,600 seconds.

Kelsey's rate in feet per second (ft/s) is 60 feet / 6 seconds = 10 ft/s.

Step 1: Convert feet per second to miles per hour.

`$$ \frac{10\,\text{ft}}{1\,\text{s}} * \frac{1\,\text{mile}}{5280\,\text{ft}} * \frac{3600\,\text{s}}{1\,\text{hour}} $$`

This simplifies to:

`$$ (10 * 1 * 3600)/(1 * 5280 * 1) \text{miles/hour} $$`

`$$ (36000)/(5280) \text{miles/hour} $$`

The result is approximately 6.8 miles per hour when rounded to the nearest tenth.

Thus, Kelsey's jogging rate is 6.8 miles per hour.