SOLUTION: It's a simple one, yet I want to fully understand. I want to understand it in a way that I can solve similar questions with time and distance with ease. If I am driving a car at 1

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Question 922006: It's a simple one, yet I want to fully understand. I want to understand it in a way that I can solve similar questions with time and distance with ease.
If I am driving a car at 15/mph and the distance I have to travel is 3 mi. How long will it take me?

Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If I am driving a car at 15/mph and the distance I have to travel is 3 mi. How long will it take me?
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time = distance/rate
time = 3 mi/15mph = 1/5 hr = 60/5 min = 12 minutes
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Cheers,
Stan H.
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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if you are driving a car at 15%28mil%2Fh%29, means the speed is s=15%28mil%2Fh%29
and the distance you have to travel is 3mil, means the distance d=3mil

how long will it take you, means what is a time t
as you know, the distance is directly proportional to speed and time:
as speed goes up, travel distance goes up
as time goes up, travel distance goes up
therefore, d=s%2At
but
speed and travel time are Inversely Proportional because the faster we go the shorter the time
as speed goes up, travel time goes down
and as speed goes down, travel time goes up

therefore, t=d%2Fs
so, since you need to calculate the time, use this formula
t=d%2Fs ....plug in given data d=3mil and s=15%28mil%2Fh%29

t=3mil%2F15%28mil%2Fh%29 ...simplify

t=cross%283%291cross%28mil%29%2Fcross%2815%295%28cross%28mil%29%2Fh%29

t=1%2F5%281%2Fh%29

t=%281%2F5%29h

t=0.2h....convert it to min, multiply by 60

t=0.2%2A60min

t=12min => it will take you 12min to travel the distance of 3mil and speed of 15%28mil%2Fh%29