SOLUTION: George live approximately 15 miles from the state park where he is employed. He is currently traveling 35 mph in his personal vehicle from his home to the state parl so that he can

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Question 210101: George live approximately 15 miles from the state park where he is employed. He is currently traveling 35 mph in his personal vehicle from his home to the state parl so that he can report for duty as scheduled. Assuming that his speed remains constant, how long will it take George to reach the state park from his home?
I'm not sure how to even approach this problem non the less ever to even solve or come up with an answer. HELP PLEASE!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Whenever you are working a problem in which you want to know the speed, distance or time a vehicle travels, you will most likely start with the basic formula d=rt where 'd' is the distance traveled, 'r' is the rate/speed of the vehicle or person, and 't' is the time taken to travel.

In plain English, the distance traveled is equal to the speed multiplied by the time.

Ex: I travel 50 mph and I drive for 2 hours. How far have I gone? I've gone 100 miles (you might have done this in your head). Simply multiply 50 by 2 to get 100.
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d=rt Start with the given formula


15=35t Plug in d=15 (since he needs to travel 15 mi) and r=35 (his speed in miles per hour)


15%2F35=t Divide both sides by 35 to isolate 't'. Since we want to know the time, we want to get 't' all by itself.


%285%2A3%29%2F%285%2A7%29=t Factor 15 to get 5*3 and 35 to get 5*7


%28cross%285%29%2A3%29%2F%28cross%285%29%2A7%29=t Cancel out the common factors.


3%2F7=t Simplify


So the answer is t=3%2F7. This means that he'll travel for 3%2F7 of an hour. What does this mean? Well, if we find the decimal equivalent of 3%2F7 with a calculator, we get 3%2F7=0.4286 (approximately). Now multiply this value by 60 (to convert the time to minutes) to get: 60%2A0.4286=25.716


So it takes him roughly 25.716 minutes to go 15 miles at 35 mph.