SOLUTION: How long would it take me to go 18 miles at 72 mph?

Question 632549: How long would it take me to go 18 miles at 72 mph?

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
The equation that applies to this problem is:
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Distance = Speed * Time
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The first thing to do is to ensure that the units are consistent. In this problem the distance you are given is in "miles" and the speed also involves "miles". This means that you do not have to make any changes or conversionss to get the units to agree. Then since the speed involves "hours", the answer for the time will also have the unit "hours".
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Just substitute 18 for the distance in the equation and 72 for the speed to get:
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18 = 72*Time
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Solve for Time by dividing both sides of this equation by 72:
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18/72 = (72/72)* Time
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The 72/72 is just 1. This reduces the equation to:
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18/72 = Time
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The fraction on the left side of this equation can be reduced by either dividing 72 into 18 to get 0.25 (which is equal to 1/4) or by replacing 72 by its equivalent value of 18*4. In the latter case this makes the equation become:
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18/(18*4) = Time
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Then cancel the 18 in the numerator with the 18 in the denominator and this reduces the equation to:
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1/4 = Time
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And the units is hours. So the answer is:
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Time = 1/4 hours
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or in an equivalent form:
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Time = 0.25 hours
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At a speed of 72 mph, you go 18 miles in a-quarter of an hour (which is 15 minutes).
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Hope this helps you to understand the problem a little better.
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