you are driving home from school steadily at 95 km/h for 180 km. It then begins to rain and you slow down to 65 km/h. You arrive home after driving 4.5 hours. How far is your hometown from school?
x=180km + (95km/h)(4.5h) + (1/2)(-30km/h)(4.5h)^2
I calculated 303.75 km, but my book says the answer is 350 km.
you drove how long at 95?
180 km / 95 km/hour = 36/19 hour
(45/10 - 36/19)hours at 65
about (90/20 - 36/20)65
= 54*65/20 = 175.5 km approximately
175 + 180 = 355 km approximately
I do not feel like turning my calculator on. You can do it accurately.
To find out how far your hometown is from school, let's break down the steps:
1. First, calculate the distance covered while driving at 95 km/h for 4.5 hours:
Distance 1 = Speed * Time = 95 km/h * 4.5 h = 427.5 km
2. Next, calculate the distance covered while driving at 65 km/h for 4.5 hours:
Distance 2 = Speed * Time = 65 km/h * 4.5 h = 292.5 km
3. To find the total distance, add Distance 1 and Distance 2:
Total distance = Distance 1 + Distance 2 = 427.5 km + 292.5 km = 720 km
Therefore, the distance from your hometown to school is 720 km, not 350 km as mentioned in your book.
To solve this problem, we can break it down into two parts: the distance traveled at 95 km/h and the distance traveled at 65 km/h.
Let's start with the first part. The distance traveled at 95 km/h can be found by multiplying the speed (95 km/h) by the time it takes to travel that distance (4.5 hours). So, the distance traveled at 95 km/h is 95 km/h * 4.5 hours = 427.5 km.
Now let's move on to the second part. We know that the total distance traveled is 180 km, and the distance traveled at 95 km/h is 427.5 km. Therefore, we need to subtract the distance traveled at 95 km/h from the total distance to find the distance traveled at 65 km/h.
180 km - 427.5 km = -247.5 km
This means that the distance traveled at 65 km/h is -247.5 km. However, distance cannot be negative, so we need to use the absolute value of this result.
| -247.5 km | = 247.5 km
Adding up the distances traveled at 95 km/h (427.5 km) and 65 km/h (247.5 km), we get a total distance of:
427.5 km + 247.5 km = 675 km
Therefore, your hometown is 675 km away from your school, not 350 km as stated in your book. It seems that there might be an error in the book.