SOLUTION: I have to convert these to miles per hour. 1) A helicopter can travel 2.5 miles in one hour. What is the speed of this helicopter in miles per minute? 2) An ant can travel 25 fee

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Question 393740: I have to convert these to miles per hour.
1) A helicopter can travel 2.5 miles in one hour. What is the speed of this helicopter in miles per minute?
2) An ant can travel 25 feet per minute. What is the speed of the ant in miles per hour?
I kind of know how to set it up, i think.
Would you do,
2.5mi
-------- (That's 2.5 mi. over 1 min.)
1 min.
I don't know if that's how your supposed to do it. Don't I have to convert something? I don't know!
Please help!
Thanks!
Found 3 solutions by stanbon, ewatrrr, Edwin McCravy:
Answer by stanbon(57412) About Me  (Show Source):
You can put this solution on YOUR website!
1) A helicopter can travel 2.5 miles in one minute. What is the speed of this helicopter in miles per hour?
---
(2.5 miles/min)(60 min/1 hr) = (2.5*60)/(1*1) miles/hr. = 150 miles/hr
==================================================
2) An ant can travel 25 feet per minute. What is the speed of the ant in miles per hour?
(25 ft/min)(1 mile/5280 ft)(60 min/1 hr) = (25*1*60)/(1*5280*1)(miles/hr)
---
= 0.2841 miles/hr
=====================
Cheers,
Stan H.

Answer by ewatrrr(10682) About Me  (Show Source):
You can put this solution on YOUR website!


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(8916) About Me  (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 mi%2Fh where mi means "miles" and h means hours.

So to convert 

25mi%2Fh

to mi%2Fm  (where m means "minutes")

We use the fact that 60m = 1h to build a unit fraction with 
one of those in the numerator and the other in the denominator, either
%2860m%29%2F%281h%29 or %281h%29%2F%2860m%29, whichever serves the purpose of getting rid of the hours h and bringing in the minutes m.

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

%2825mi%29%2Fh

has h in the denominator.  So to cancel away the h in the denominator we need 
an h in the numerator,  So we make the unit fraction %281h%29%2F%2860m%29 
and multiply it by 2.5mi%2Fh like this
 
expr%28%2825mi%29%2Fh%29%2Aexpr%28%281h%29%2F%2860m%29%29
 
Then we can cancel the hours (h's) like this:

expr%28%2825mi%29%2Fcross%28h%29%29%2Aexpr%28%281cross%28h%29%29%2F%2860m%29%29

and all that's left is

%2825%2A1mi%29%2F%2860m%29

which is the same as

25%2F60mi%2Fm

which can be reduced to

5%2F12mi%2Fm

or as a decimal .4166666667mi%2Fm

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


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


So to convert 

25f%2Fm

to mi%2Fh  (where f means "feet")

We again use the fact that 60m = 1h to build a unit fraction with
 one of those in the numerator and the other in the denominator, either
%2860m%29%2F%281h%29 or %281h%29%2F%2860m%29, whichever serves the purpose of getting rid of the minutes m and bringing in the hours h.

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

%2825f%29%2Fm

has m in the denominator.  So to cancel away the m in the denominator we need 
an m in the numerator,  So we make the unit fraction %2860m%29%2F%281h%29 
and multiply it by 25f%2Fm like this
 
expr%28%2825f%29%2Fm%29%2Aexpr%28%2860m%29%2F%281h%29%29
 
Then we can cancel the hours (m's) like this:

expr%28%2825f%29%2Fcross%28m%29%29%2Aexpr%28%2860cross%28m%29%29%2F%281h%29%29

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

So now we use the fact that 5280f = 1mi to build a unit fraction with
 one of those in the numerator and the other in the denominator, either
%285280f%29%2F%281mi%29 or %281mi%29%2F%285280f%29, whichever serves the purpose of getting rid of the feet f and bringing in the miles mi.

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

expr%28%2825f%29%2Fcross%28m%29%29%2Aexpr%28%2860cross%28m%29%29%2F%281h%29%29

has f in the numerator.  So to cancel away the f in the numerator we need 
an f in the denominator,  So we make the unit fraction %281mi%29%2F%285280f%29 
and multiply it by the above like this



Then we can cancel the feet f




and all that's left is

%2825%2A60mi%29%2F%281%2A5280h%29

which is the same as

25%2A60%2F%281%2A5280%29mi%2Fh

which reduces to fraction form

25%2F88%29%29%29%7B%7B%7Bmi%2Fh

or decimal form 0.2840909091mi%2Fh

Edwin