How many miles would you have to run, swim and walk to burn the equivalent of 1 pound of fat, and how long would it take?

One lb. of fat = 3,500 calories

Question

How many miles would you have to run, swim and walk to burn the equivalent of 1 pound of fat, and how long would it take?

One lb. of fat = 3,500 calories

secretpurple · Answer

attachment

3mar · Answer

May I help?

secretpurple · Answer

Absolutely!

3mar · Answer

Thank you.

3mar · Answer

As you mentioned, there are three cases 
 run, swim and walk
to burn 1 pound of fat.
Am I right?

secretpurple · Answer

Yes, and also I need to know how long it would take for each.

3mar · Answer

Great!

3mar · Answer

Referring to your figure, one finds that:
in case of running 7 minutes, 979 cal is consumed.
but we want only 3500 cal to be consumed (which correspond to 1 Ib if fat)
right?

secretpurple · Answer

Yes

3mar · Answer

Excuse me
does it mean 7 min or 1 mile
or 7 min and also 7 miles
or what?

3mar · Answer

Do you follow?

secretpurple · Answer

I do follow, and I believe what it means is 7 minutes per mile

3mar · Answer

you mean as a rate!?

secretpurple · Answer

I honestly don't know. My teacher didn't do a very good job setting up the problem.

3mar · Answer

" I believe what it means is 7 minutes per mile"

3mar · Answer

Anyway
we have this relation
$$\frac{ 7 \min }{ 979 caloris }=\frac{ ? \min }{ 3500 calories }$$
by this, we can get how long it takes to burn the equivalent of 1 pound of fat (3500 cal)
agree?

3mar · Answer

solving it we will get: 25.02554 min =~ 25.03 min=1502 seconds

3mar · Answer

Got it, Mam?

3mar · Answer

and for the distance:
$$7 \min \rightarrow 1 mile$$
$$25.026 \min \rightarrow ?? miles$$

so $$?? miles =\frac{ 25.026*1 }{ 7 }=3.575 miles$$

3mar · Answer

For running:
It would take 25.03 min of running to burn 1 Ib of fat and it covers 3.575 miles

3mar · Answer

Thank you for the medal!
but we did not finish yet.
Did you get tired?

3mar · Answer

Can't follow?