The meet of Mike and Josh

Two cyclists Mike and Josh simultaneously started toward each from two towns 24km apart. Josh rode at 24 km/hr and Mike rode at 15km/hr. Before departure a fly landed on Josh's nose and started to fly towards Mike the moment Josh departs. When it reached Mike, it immediately turned back and flew towards Josh. As soon as the fly reached Josh, it turned back again and so on. Air speed of fly was 30km/hr and the wind blew always towards Mike with a constant speed of 10 km/hr. Find the total distance flown by the fly until the cyclists met.

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