Kinematics-1

Two cyclists, Laila and Majnu, simultaneously start toward each other from two towns 1729 km 1729 \text{ km} apart. Majnu rides at 25 km/h 25 \text{ km/h} and Laila at 10 km/h 10 \text{ km/h} . The moment they start, a pigeon also starts from Majnu towards Laila and after reaching Laila, immediately returns towards Majnu. The pigeon continues back and forth motion between the cyclists till the cyclists meet. Air speed of pigeon is 30 km/h 30 \text{ km/h} and the wind blows always towards Laila with a constant velocity 10 km/h 10 \text{ km/h} . Find the total distance flown by the pigeon.

Assumption: Treat the pigeon as a point.


The answer is 1729.

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