an object is traveling at a steady speed of 8 2/3 mph how long will it take the object to travel 5 1/5 miles

3 answers

To calculate how long it will take the object to travel 5 1/5 miles at a steady speed of 8 2/3 mph, we can use the formula:

Time=DistanceSpeed

First, we need to convert the mixed numbers to improper fractions.

  1. Convert 823 to an improper fraction:

823=8×3+23=24+23=263 mph

  1. Convert 515 to an improper fraction:

515=5×5+15=25+15=265 miles

Next, substitute these values into the time formula:

Time=265263

To divide by a fraction, we multiply by its reciprocal:

Time=265×326

The 26 in the numerator and denominator cancels out:

Time=35 hours

Now, we convert 35 hours to minutes:

35×60 minutes=36 minutes

Therefore, it will take the object 36 minutes to travel 5 1/5 miles at a steady speed of 8 2/3 mph.

can you explain it better in bullet points

Sure! Here’s the explanation broken down into clear bullet points:

  1. Identify the Information Given:

    • Speed: 823 mph.
    • Distance: 515 miles.
  2. Convert Mixed Numbers to Improper Fractions:

    • Convert speed:
      • 823=8×3+23=24+23=263 mph.
    • Convert distance:
      • 515=5×5+15=25+15=265 miles.
  3. Use the Formula for Time:

    • Formula: Time=DistanceSpeed.
    • Substitute the values:
      • Time=265263.
  4. Divide Fractions:

    • To divide by a fraction, multiply by its reciprocal:
      • Time=265×326.
    • The 26 cancels out:
      • Time=35 hours.
  5. Convert Hours to Minutes:

    • Since there are 60 minutes in an hour:
      • 35 hours×60 minutes=36 minutes.
  6. Final Answer:

    • It will take 36 minutes for the object to travel 5 1/5 miles at a speed of 8 2/3 mph.