Math Problem Statement

Melissa walked at a rate of 88 feet per minute. What was her approximate speed to the nearest tenth of a mile per hour?

Solution

Let's solve this step by step.

Given:

  • Melissa's walking speed: 88 feet per minute
  • Convert this to miles per hour.
  • 1 mile = 5280 feet
  • 1 hour = 60 minutes

Conversion:

  1. Convert feet per minute to feet per hour: 88 feet/min×60 min/hour=5280 feet/hour88 \text{ feet/min} \times 60 \text{ min/hour} = 5280 \text{ feet/hour}
  2. Convert feet per hour to miles per hour: 5280 feet/hour5280 feet/mile=1.0 miles per hour\frac{5280 \text{ feet/hour}}{5280 \text{ feet/mile}} = 1.0 \text{ miles per hour}

Answer:

The correct choice is 1.0 miles per hour.

Would you like further clarification? Here are five related questions:

  1. How do you convert miles per hour to feet per minute?
  2. If Melissa walked at 176 feet per minute, what would her speed be in miles per hour?
  3. How many miles would she walk in 2.5 hours at this speed?
  4. What is the formula for converting any speed from feet per minute to miles per hour?
  5. If she walked 5 miles, how many feet did she cover?

Tip: Always check unit conversions carefully, especially when dealing with time and distance.

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Speed and Distance
Rates of Motion

Formulas

1 mile = 5280 feet
1 hour = 60 minutes

Theorems

Unit Conversion Theorem

Suitable Grade Level

Grades 6-8