Dirty cash

Two cyclists Ram and Shyam cycling towards each other simultaneously at 8 miles per hour and 12 miles per hour respectively.

To start with, they are 30 miles apart.

At the same time, a fly from the nose of Ram starts flying towards Shyam till it hits the later’s nose after traveling 20 miles and  flies back again to Ram’s nose and so on with a same speed till the two cyclists meet and it gets crushed between their noses.

How much distance did the fly fly?



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