I can't answer the question for you, but I can tell you that most high school runners, even Foot Locker guys, do not put in this many miles. Marc Bloom, when he was publishing his Harrier cross country magazine, would do profiles of Foot Locker nationals guys based on their answers to a survey the guys were asked to complete prior to Nationals about their training. Most were in the 60 mile per week range, but some did some killer workouts as part of those 60 miles, and others did not. And there were a few outliers - 40 miles a week, 80 miles a week.
My son was a very successful high school distance guy, sub 9 3200 and sub 15 cross country, and the formula his coach used was to increase weekly miles by 10 each year in high school - so 30, 40, 50, 60 by senior year. The other key was year round consistency, but with a few short breaks at the end of each season - a week of so off for relaxation. Seemed to work well.
My concern about your plan is that you say you are weak, and you don't give your present mileage. Big jumps in training are usually associated either with injury or burnout or both. For most guys, running is a long term progression - like learning a musical instrument or a foreign language, it is better accomplished by steady progression over a long time frame - my opinion, anyway. Suddenly bumping summer miles up by 30 or 40 miles a week might work, but is more likely to leave you either dreading your runs, or getting totally fatigued, sore and/or injured.
Why not start some small doubles now? Jog 2 or 3 miles in the morning 4 or 5 days a week. That is an easy way to get some extra strength. Add some hills to your daily runs if possible - that will add some strength.