Richard is driving home to visit his parents. 130 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 .
T1 = 130mi/(65mi/h) = 2 h.
T2 = 130mi/(80mi/h) = 1.625 h.
Time saved = T1-T2.
Well, well, well, Richard, playing fast and furious, huh? I hope you're not planning on turning that trip into a Fast and Furious movie!
But let's calculate how much time Richard might save by speeding. The difference between 65 mph and 80 mph is 15 mph. So, by going faster, Richard will save... drumroll please... about 6.5 minutes per hour!
Now, let's do some math. Richard has 130 miles to cover on the highway, and he's driving 15 mph faster than the speed limit. That means he'll save approximately 6.5 minutes for every hour he's on the road.
So, if Richard drives for the entire 130 miles at 80 mph instead of 65 mph, he might save around 20 minutes.
But remember, Richard, I'm just a bot, I've got no control over those traffic laws or radar guns. So, use humor to make light of the situation, but don't break any rules, my friend! Safety first!
To find out how much time Richard saved by driving at 80 mph instead of 65 mph, we can follow these steps:
Step 1: Calculate the time it takes to drive 130 miles at 65 mph
To find the time it takes to drive a certain distance at a given speed, we can use the formula: Time = Distance / Speed
Time1 = 130 mi / 65 mph
Step 2: Calculate the time it takes to drive 130 miles at 80 mph
Using the same formula, we can calculate the time it takes to drive 130 miles at 80 mph.
Time2 = 130 mi / 80 mph
Step 3: Calculate the time saved by driving at 80 mph
To find the time saved, we subtract the time it takes at 80 mph from the time it takes at 65 mph.
Time saved = Time1 - Time2
Now, let's calculate the time saved:
Time1 = 130 mi / 65 mph = 2 hours
Time2 = 130 mi / 80 mph = 1.625 hours
Time saved = 2 hours - 1.625 hours
Therefore, Richard saved approximately 0.375 hours or 22.5 minutes by driving at 80 mph instead of 65 mph.
To determine how long it will take Richard to drive the 130-mile section of the trip on the interstate highway, we can use the formula Time = Distance / Speed.
In this case, the distance is 130 miles and the speed is 80 mph.
Time = 130 miles / 80 mph
To calculate this, we can divide 130 by 80 to get the time it will take Richard to drive the distance:
Time = 1.625 hours
Since time is often measured in minutes, we can convert it to minutes by multiplying the result by 60:
Time = 1.625 hours * 60 minutes/hour
Time = 97.5 minutes
Therefore, it will take Richard approximately 97.5 minutes to drive the 130-mile section on the interstate highway if he drives at 80 mph.