How much longer, in seconds, is required to drive 1 mile at 40 miles per hour than at 60 miles per hour?
1 hour = 60 minutes
1 minute = 60 seconds
i got 30 seconds
To find the time difference in seconds between driving 1 mile at 40 miles per hour and at 60 miles per hour, we need to calculate the time it takes to travel 1 mile at each speed.
First, let's calculate the time it takes to drive 1 mile at 40 miles per hour. When the speed is given in miles per hour, we can use the formula:
Time = Distance / Speed
Therefore, the time it takes to drive 1 mile at 40 miles per hour is:
Time at 40 mph = 1 mile / 40 miles per hour
Simplifying this expression:
Time at 40 mph = 1/40 hours
Converting 1/40 hours to seconds:
1/40 hours * 60 minutes/hour * 60 seconds/minute = 90 seconds
So, it takes 90 seconds to drive 1 mile at a speed of 40 miles per hour.
Next, let's calculate the time it takes to drive 1 mile at 60 miles per hour:
Time at 60 mph = 1 mile / 60 miles per hour
Simplifying this expression:
Time at 60 mph = 1/60 hours
Converting 1/60 hours to seconds:
1/60 hours * 60 minutes/hour * 60 seconds/minute = 60 seconds
So, it takes 60 seconds to drive 1 mile at a speed of 60 miles per hour.
To calculate the time difference, we subtract the time taken at 60 mph from the time taken at 40 mph:
Time difference = Time at 40 mph - Time at 60 mph
Time difference = 90 seconds - 60 seconds
Time difference = 30 seconds
Therefore, it takes 30 seconds longer to drive 1 mile at 40 miles per hour compared to 60 miles per hour.