Two boats start together and race across a 60-km-wide lake and back. Boat A goes across at 30 km/h and returns at 30 km/h. Boat B goes across at 20 km/h, and its crew, realizing how far behind it is getting, returns at 40 km/h. Turnaround times are negligible, and the boat that completes the trip first wins. (a) Which boat wins and by how much? (Or is it a tie?) (b) What is the average velocity of the two boats?

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Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.