Math Problem Statement

Distance is 49 miles. Average speed is 40 mph. Calculate journey length in hours and minutes to nearest 5 minutes

Solution

To calculate the journey length, we can use the formula:

Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}}

Given:

  • Distance = 49 miles
  • Speed = 40 mph

Time=4940=1.225 hours\text{Time} = \frac{49}{40} = 1.225 \text{ hours}

Now, we convert the decimal part into minutes:

  • 1 hour is the whole number.
  • To convert the decimal part (0.225) into minutes, multiply by 60:

0.225×60=13.5 minutes0.225 \times 60 = 13.5 \text{ minutes}

To the nearest 5 minutes, 13.5 minutes rounds to 15 minutes.

Thus, the total journey length is approximately 1 hour and 15 minutes.

Would you like more details or have any questions?


Here are 5 related questions for practice:

  1. If the distance was 100 miles at the same speed, how long would the journey take?
  2. What would be the time taken if the speed was 60 mph instead of 40 mph for the 49-mile trip?
  3. How long would it take to cover 80 miles at an average speed of 40 mph?
  4. If you increased the speed to 50 mph, how would the journey time for 49 miles change?
  5. How long would the journey take if the average speed was reduced to 30 mph for the same distance?

Tip: Always remember to convert fractional hours to minutes by multiplying by 60.

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Math Problem Analysis

Mathematical Concepts

Ratio and Proportion
Unit Conversion

Formulas

Time = Distance / Speed
Minutes = Decimal part of hours × 60

Theorems

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Suitable Grade Level

Grades 5-7