I was wondering if there was an estimated weight loss for running two miles a day for two months?
Example: 5Ǝ 128lbs
Do you know how much weight loss could be expected along with a healthy diet(drinking water, no fatty foods)? I know that muscle from running could up the weight but what would be a good estimate?

You'll burn about 200 calories for each 2 mile run. You need to burn an extra 3500 calories for each pound of fat to be burned. So, if you ate exactly the same as you do now, you'd probably lose about 3.5 pounds. But, if you also cut your calories by 200 each day, you'll be able to burn another 3.5 for a total of 7. Plus, we're not considering losing water weight, and the extra calories you'll be burning as the result of the post workout metabolism raise. And don't worry about gaining enough muslce to make a difference on the scale. YOu might add a little lean muscle mass, but it won't be enough to budge the scale. That's a common misconception people have.
Just make sure you're eating a balanced diet: veggies, fruits, lean protein, whole grains, legumes, and yes fat. Your body needs fat for everyday functioning. But only good kinds (plant oils, nuts, and seeds), and saturated fat (animal fat) in moderation. And don't forget to drink water. Lots of water, and nothing else. You'd be surprised how many calories you drink everyday. Good luck!

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You are looking at a good 15 -22 lbs easy without cheating.