You are driving home from college steadily at 95km/hour for 130km. It begins to rain and you slow to 65km/hour. You arrive home after driving 3 hours and 20 minutes. How far is your hometown from college?
Work with the time of each section, since you know the total time.
Time at 95kph = 130/95 h
Time at 65 kph = t
130/95 + t = 10/3
t = 1.965 h
So, total distance is 130km + 65*1.965 = 130+127.7 = 257.7km
drt
To find the distance from your hometown to college, we can calculate the distance traveled at both speeds and then add them together.
For the first leg of the trip:
Speed = 95 km/h
Time = 3 hours + 20 minutes = 3.33 hours (rounded to 2 decimal places)
Distance1 = Speed x Time = 95 km/h x 3.33 hours = 316.35 km (rounded to 2 decimal places)
For the second leg of the trip:
Speed = 65 km/h
Time = Total time - Time for the first leg
Time = 3.33 hours - 3 hours = 0.33 hours (rounded to 2 decimal places)
Distance2 = Speed x Time = 65 km/h x 0.33 hours = 21.45 km (rounded to 2 decimal places)
Total distance = Distance1 + Distance2 = 316.35 km + 21.45 km = 337.8 km (rounded to 1 decimal place)
Therefore, your hometown is approximately 337.8 km away from college.
To find the distance between your hometown and college, we need to calculate the distance traveled at a speed of 95 km/h and the distance traveled at a speed of 65 km/h.
First, let's convert the time you traveled from hours to minutes. Since you drove for 3 hours and 20 minutes, the total time is 3 + 20/60 = 3 + 1/3 hours.
Now, we can calculate the distance traveled at a speed of 95 km/h by multiplying the speed with the time:
95 km/h * 3.33 hours = 316.35 km.
Next, let's calculate the distance traveled at a speed of 65 km/h by subtracting the previous distance from the total distance of 130 km:
130 km - 316.35 km = -186.35 km.
However, we cannot have negative distance, so let's take it as the absolute value:
|-186.35| = 186.35 km.
Therefore, your hometown is approximately 186.35 km away from college.