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:
Given:
- Distance = 49 miles
- Speed = 40 mph
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:
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:
- If the distance was 100 miles at the same speed, how long would the journey take?
- What would be the time taken if the speed was 60 mph instead of 40 mph for the 49-mile trip?
- How long would it take to cover 80 miles at an average speed of 40 mph?
- If you increased the speed to 50 mph, how would the journey time for 49 miles change?
- 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
-
Suitable Grade Level
Grades 5-7
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