3. X and Y are two cities 300 kms away. A cyclist cycles from X to Y at a speed of 10 kms per hour. A bird starts to fly from X towards Y at the same time when the cyclist starts his cycling. The bird flies at 30 kms per hour. The bird touches point Y and makes a U turn and flies back in the direction of X. The bird meets the cyclist on the way, and there again takes a U turn flying back towards point Y. Again the bird on reaching point Y, makes a U turn and flies towards X, meets the cyclist on the way and changes back direction to Y. So, the bird continues flying to & fro between point Y and the cyclist, till the two reach point Y. What distance has the bird flown?
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Step-by-step explanation:
3. X and Y are two cities 300 kms away. A cyclist cycles from X to Y at a speed of 10 kms per hour. A bird starts to fly from X towards Y at the same time when the cyclist starts his cycling. The bird flies at 30 kms per hour. The bird touches point Y and makes a U turn and flies back in the direction of X. The bird meets the cyclist on the way, and there again takes a U turn flying back towards point Y. Again the bird on reaching point Y, makes a U turn and flies towards X, meets the cyclist on the way and changes back direction to Y. So, the bird continues flying to & fro between point Y and the cyclist, till the two reach point Y. What distance has the bird flown?