Richard is driving home to visit his parents125 mi of the trip are on the interstate highway where the speed limit is 65 mph Normally Richard drives at the speed limit, but today he is running late and decides to take his chances by driving at 80 mph.how many minutes will he save
Speed * time = distance
Time = distance / speed
Normal time = 125 mi/65 mph
Time at 80 mph = 125 mi/85 mph
The difference of the two times is the time saved (in hours)
((150/85)-(150/65) ) x 60
multiply by 60 bc they ask for MINUTES not hrs.
The answer is positive btw.
To calculate how many minutes Richard will save by driving at 80 mph instead of the speed limit of 65 mph, we need to compare the time it takes for him to cover the distance at each speed.
First, let's calculate the time it takes to cover 125 miles at the speed limit of 65 mph:
Time = Distance / Speed = 125 miles / 65 mph = 1.92 hours
Next, let's calculate the time it takes to cover 125 miles at 80 mph:
Time = Distance / Speed = 125 miles / 80 mph = 1.56 hours
To find the time difference, subtract the time it takes at 80 mph from the time it takes at 65 mph:
1.92 hours - 1.56 hours = 0.36 hours
Since there are 60 minutes in an hour, we can convert the time difference to minutes by multiplying by 60:
0.36 hours * 60 minutes/hour = 21.6 minutes
Therefore, Richard will save approximately 21.6 minutes by driving at 80 mph instead of the speed limit.
To calculate the number of minutes Richard would save by driving at 80 mph instead of 65 mph, we need to find the difference in time it takes to travel 125 miles at the two different speeds.
First, let's calculate the time it takes to travel 125 miles at 65 mph:
Time = Distance / Speed
Time = 125 miles / 65 mph
To convert the speed from miles per hour to minutes per hour, we need to divide by 60:
Time = (125 miles / 65 mph) * (1 hour / 60 minutes)
Time = (125/65) * (1/60) hours
Now, let's calculate the time it takes to travel the same distance at 80 mph:
Time = Distance / Speed
Time = 125 miles / 80 mph
Converting to minutes per hour:
Time = (125 miles / 80 mph) * (1 hour / 60 minutes)
Time = (125/80) * (1/60) hours
To find the difference in time, we subtract the time it takes at 65 mph from the time it takes at 80 mph:
Time saved = (125/80) * (1/60) - (125/65) * (1/60) hours
To convert this time difference from hours to minutes, we multiply by 60:
Time saved = [(125/80) * (1/60) - (125/65) * (1/60)] * 60 minutes
Now, let's calculate the value of time saved:
Time saved = [(125/80) * (1/60) - (125/65) * (1/60)] * 60 minutes
Simplifying the equation:
Time saved = [(125/80 - 125/65) * (1/60)] * 60 minutes
Using a common denominator, we get:
Time saved = [(125(65) - 125(80)) / (80(65))] * 60 minutes
Calculating:
Time saved = [-3750/5200] * 60 minutes
Simplifying:
Time saved = [-15/26] * 60 minutes
Rounding to the nearest minute:
Time saved = -35 minutes
Therefore, Richard would save approximately 35 minutes by driving at 80 mph instead of 65 mph.