It took Esteban 1 minute and 20 seconds to travel one mile. If he then drives this one mile distance in 55 seconds, how much faster is he driving in miles per hour?
60(4/3 min.)*1 mile = 80 mph
(55/60 min)60 * 1 mile = 55 mph
the times are 80 seconds and 55 seconds
1mi/80s * 3600s/hr = 45 mi/hr
1mi/55s * 3600s/hr = 65.45 mi/hr
Now just subtract
To find the answer, we first need to calculate the speeds at which Esteban initially traveled and then later traveled.
To calculate the initial speed, we can convert 1 minute and 20 seconds into seconds. Since there are 60 seconds in a minute, we multiply 1 minute by 60 seconds and then add the remaining 20 seconds.
1 minute * 60 seconds/minute = 60 seconds
60 seconds + 20 seconds = 80 seconds
Therefore, Esteban initially traveled one mile in 80 seconds.
To calculate the speed, we can divide the distance (1 mile) by the time taken (80 seconds).
Speed = Distance / Time
Speed = 1 mile / 80 seconds
Speed = 0.0125 miles per second
To calculate Esteban's later speed, we convert 55 seconds into minutes and seconds.
55 seconds / 60 seconds/minute = 0.9167 minutes
Therefore, Esteban traveled one mile in 0.9167 minutes.
To calculate the speed, we divide the distance (1 mile) by the time taken (0.9167 minutes).
Speed = Distance / Time
Speed = 1 mile / 0.9167 minutes
Speed = 1.0909 miles per minute
To convert the speed to miles per hour, we know that there are 60 minutes in an hour.
Therefore, to convert miles per minute to miles per hour, we multiply by 60.
Speed = 1.0909 miles per minute * 60 minutes/hour
Speed = 65.4545 miles per hour
Now, to find how much faster Esteban is driving in miles per hour, we subtract his initial speed from his later speed.
Difference = Later Speed - Initial Speed
Difference = 65.4545 miles per hour - 0.0125 miles per second (converted to miles per hour)
To convert 0.0125 miles per second to miles per hour, we multiply by 3600.
Difference = 65.4545 miles per hour - (0.0125 miles per second * 3600 seconds/hour)
Difference = 65.4545 miles per hour - 45 miles per hour
Therefore, Esteban is driving approximately 20.4545 miles per hour faster.