Questions: John is driving at a constant speed of 40 miles per hour. How long does it take him to travel 50 miles? Make sure to convert the answer into hours and minutes. An hour and 30 minutes An hour and 8 minutes An hour and 48 minutes An hour and 15 minutes

John is driving at a constant speed of 40 miles per hour.

How long does it take him to travel 50 miles? Make sure to convert the answer into hours and minutes.
An hour and 30 minutes
An hour and 8 minutes
An hour and 48 minutes
An hour and 15 minutes

Transcript text: John is driving at a constant speed of 40 miles per hour. How long does it take him to travel 50 miles? Make sure to convert the answer into hours and minutes. An hour and 30 minutes An hour and 8 minutes An hour and 48 minutes An hour and 15 minutes

Solution

Solution Steps

Step 1: Calculate Time in Hours

To calculate the time it takes to travel a distance of 50 units at a constant speed of 40 units per hour, we use the formula: $$T = \frac{D}{S}$$ Where $D$ is the distance (50 units) and $S$ is the speed (40 units per hour). Substituting the given values, we get: $$T = \frac{50}{40} = 1.25 \text{ hours}$$ This gives us the total time in hours, but it may not be a whole number.

Step 2: Convert Time to Hours and Minutes

To convert the decimal part of the hour result into minutes, we multiply it by 60. The formula for this conversion is: $$Minutes = DecimalPart(T) \times 60$$ Using the decimal part of our calculated time, we get: $$Minutes = (1.25 - 1) \times 60 = 15 \text{ minutes}$$ This gives us the time in hours and minutes.