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First, you need the circumference of the bike wheel. With the circumference you know how many inches the wheel goes in one rotation.
In one hour, the bike goes 35 miles. Convert miles to inches (1 mile = 5280 feet, 1 foot = 12 inches). That's how many inches in one hour (60 minutes) the wheel travels.
divide the inches traveled by the inches in 1 rotation (also divide by the fact that there are 60 minutes in 1 hour) and you will be left with # of rotations per minute.
[(35*5280*12)/(26pi*60)] = answer
At least this is what I get from reading your wording of the problem. (I'm also extremely tired right now, so my words might not make any sense)
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