Hi

speed in mph for the folowing

1)helicopter can travel 2.5 miles in one hour

      speed is 2.5mph

2)ant can travel 25 feet per minute  (60min = 1hour)

that is:  25*60ft in one hour OR 1500/5280 miles in one hour (5280ft = 1 mile)

   speed is .284mph 

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
 1) A helicopter can travel 25 miles in one hour. What is the speed of this helicopter in miles per minute?


"Miles per hour" means the same as "miles in ONE hour" which also means 
"miles OVER hours" or  where  means "miles" and  means hours.

So to convert 



to   (where  means "minutes")

We use the fact that  =  to build a unit fraction with 
one of those in the numerator and the other in the denominator, either
 or , whichever serves the purpose of getting rid of the hours  and bringing in the minutes .

To decide which one we want in the numerator and which in the denominator,
we observe that  



has  in the denominator.  So to cancel away the  in the denominator we need 
an  in the numerator,  So we make the unit fraction  
and multiply it by  like this
 

 
Then we can cancel the hours ('s) like this:



and all that's left is



which is the same as



which can be reduced to



or as a decimal .4166666667

---------------------------------------


2) An ant can travel 25 feet per minute. What is the speed of the ant in miles per hour?


So to convert 



to   (where  means "feet")

We again use the fact that  =  to build a unit fraction with
 one of those in the numerator and the other in the denominator, either
 or , whichever serves the purpose of getting rid of the minutes  and bringing in the hours .

To decide which one we want in the numerator and which in the denominator,
we observe that  



has  in the denominator.  So to cancel away the  in the denominator we need 
an  in the numerator,  So we make the unit fraction  
and multiply it by  like this
 

 
Then we can cancel the hours ('s) like this:



But now we must also get rid of the feet and bring in the miles:

So now we use the fact that  =  to build a unit fraction with
 one of those in the numerator and the other in the denominator, either
 or , whichever serves the purpose of getting rid of the feet  and bringing in the miles .

To decide which one we want in the numerator and which in the denominator,
we observe that  



has  in the numerator.  So to cancel away the  in the numerator we need 
an  in the denominator,  So we make the unit fraction  
and multiply it by the above like this



Then we can cancel the feet 




and all that's left is



which is the same as



which reduces to fraction form



or decimal form 0.2840909091

Edwin
 

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