Word Problems/Math

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Question
QUESTION: If a car is traveling 35 mph how long does it take
take to travel 3.7 miles. Please explain in advance thank you for your help.

ANSWER: time = distance ÷ rate
  = 3.7 miles ÷ 35 miles/hour
  = 3.7 miles × hour/35 miles
  = (3.7÷35) hour
  ≅ 0.11 hour or 6½ minutes

---------- FOLLOW-UP ----------

QUESTION: If it takes 5 minutes for a car to travel 2.42 miles how fast would that car be moving?
Second question:
If the same car traveling 2.42 miles changed speeds three times.
How long would it take for the car to travel the 2.42 miles if the first change
1st change 25 mph

2sd Change of speed 40mph

3th change of speed 55mph

Answer
"it takes 5 minutes for a car to travel 2.42 miles. How fast would that car be moving?"

Convert miles per 5 minutes to miles per minute:
2.42 miles/5 minutes = (2.42/5) miles/minute = 0.484 mile/minute

Or, you can convert the miles per 5 minutes to miles per hour:
2.42 miles/5 minutes = 2.42 miles/5 minutes × 60 minutes/hour = 29.04 miles/hour
Note that the minute units cancel out, leaving the answer in miles per hour.
:::::
"How long would it take for a car to travel 2.42 miles at 25 mph"
If you want the answer in minutes:
2.42 miles × 1 hour/25 miles × 60 minutes/hour = 5.808 minutes
:::::
"How long would it take for a car to travel 2.42 miles at 40 mph"
2.42 miles × 1 hour/40 miles × 60 minutes/hour = 3.63 minutes
:::::
"How long would it take for a car to travel 2.42 miles at 55 mph"
2.42 miles × 1 hour/55 miles × 60 minutes/hour = 2.64 minutes

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Janet Yang

Expertise

Word problems are my favorite type of math questions! I would not feel comfortable answering questions that require specialized knowledge (Physics, Statistics, etc.) because I have not studied these in depth.

Experience

I tutor students (fifth through twelfth grades) and am a Top Contributor on Yahoo!Answers with over 24,000 math solutions.

Publications
Co-author of An Outline of Scientific Writing: For Researchers With English as a Foreign Language.

Education/Credentials
I have a Bachelor's degree in Applied Mathematics from the University of California at Berkeley, and a Master of Business Administration degree from The Wharton School.

Past/Present Clients
George White Elementary School. Homework Help program at the Ridgewood Public Library, Ridgewood, NJ. Individual students.

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