Math Problem Statement
Solve
Solution
Let’s solve the practice problems step by step.
1. Grace runs 3 miles a day. Find this rate in feet per day.
- Conversion factor: 1 mile = 5280 feet.
- Calculation:
- Answer: Grace runs 15,840 feet/day.
2. Jeff drinks 10 cups of orange juice a day. Find this rate in pints per week.
- Conversion factors: 1 pint = 2 cups, and 1 week = 7 days.
- Calculation:
- Answer: Jeff drinks 35 pints/week.
3. Jody runs the 500-yard dash for his school’s track team in 1 minute. Find this rate in yards per second.
- Conversion factors: 1 minute = 60 seconds.
- Calculation:
. - Answer: Jody runs at approximately 8.33 yards/second.
4. Barry’s remote control car can move 5.5 feet in 1 second. Find this rate in miles per hour.
- Conversion factors: 1 mile = 5280 feet, and 1 hour = 3600 seconds.
- Calculation:
- Answer: The car moves at 3.75 miles/hour.
5. Some cheetahs can run as fast as 71 miles per hour. To the nearest hundredth, find this rate in feet per second.
- Conversion factors: 1 mile = 5280 feet, and 1 hour = 3600 seconds.
- Calculation:
- Answer: Cheetahs run at approximately 104.13 feet/second.
6. The world’s fastest bird is the peregrine falcon that flies up to 200 miles per hour. How fast is the peregrine falcon in feet per second?
- Conversion factors: 1 mile = 5280 feet, and 1 hour = 3600 seconds.
- Calculation:
- Answer: The peregrine falcon flies at 293.33 feet/second.
Let me know if you'd like detailed explanations for any of the problems or further clarifications!
Related Questions:
- How would you convert feet per second to miles per hour?
- If Grace doubled her daily running distance, how many feet per day would she run?
- How many yards does Jody run in 5 seconds at his current speed?
- What is the speed of a car moving at 10 miles per hour in feet per second?
- How long does it take a peregrine falcon to fly 1 mile at its top speed?
Tip:
When converting rates, always confirm your units match before multiplying or dividing. This prevents common errors in unit conversion!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Unit conversions
Rates and ratios
Speed and distance calculations
Formulas
1 mile = 5280 feet
1 hour = 3600 seconds
Rate = Distance / Time
Theorems
Dimensional Analysis
Proportional Reasoning
Suitable Grade Level
Grades 6-8
Related Recommendation
Daily Sodium Recommendation and Unit Conversions
Comprehensive Guide to Unit Conversions and Measurement Problems
Worksheet Solutions: Proportional Relationships and Unit Rates with Fractions
Proportions, Unit Rates, and Speed Calculations Explained
Mass, Length, and Distance Conversion Practice Questions