You are driving home on a weekend from school at 55 mi/h for 110 miles. it then starts to snow and you slow to 35 mi/h. you arrive home after driving 4 hours and 15 minutes. how far is your hometown from school
Answers
The distance between hometown and school is 188.75 miles.
Given that, the person drive 110 miles at 55 miles/hour.
Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula , where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.
Due to snow, speed is slow down to 35 miles/hour.
Let x miles be travelled with 35 miles/hour.
Total time taken to travel is 4 hours and 15 minutes.
Here, and
Now,
miles
Total distance = 110+78.75
= 188.75 miles
Therefore, the distance between hometown and school is 188.75 miles.
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Final answer:
The total distance from school to the student's hometown is calculated as the sum of distances covered at different speeds. The student spends 2 hours at 55 mi/h, covering 110 miles, and then 2.25 hours at 35 mi/h, covering 78.75 miles, making up a total of 188.75 miles.
Explanation:
The question pertains to the concepts of distance, speed and time in mathematics. In this scenario, the student drives at a speed of 55 mi/h for 110 miles and then slows down due to snowfall and drives at 35 mi/h. From this information, we can calculate the time spent at each speed.
Firstly, since Speed = Distance / Time, we can rearrange to find Time = Distance / Speed. For the first stretch of the journey, the time is 110 miles / 55 mi/h = 2 hours.
It is given that the total journey takes 4 hours and 15 minutes which is equivalent to 4.25 hours. So, the time spent driving at 35 mi/h is 4.25 hours (total trip time) - 2 hours (first stretch) = 2.25 hours.
The distance covered when it was snowing can be found by multiplying this time by the slower speed: 35 mi/h * 2.25 h = 78.75 miles.
Therefore, the total distance from school to the student's hometown is the sum of the distance traveled at each speed: 110 miles (at 55 mi/h) + 78.75 miles (at 35 mi/h) = 188.75 miles.
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~
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105 = 700*0.05*t
105 = 35*t
divide both sides by 35
105/35 = 35*t/35
3 = t
t = 3