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The Lucknow-Indore Express without its rake can go 24 km an hour, and the speed is diminished by a quantity that varies as the square root of the number of wagon attached. If it is known that with four wagons its speed is 20 km/h, the greatest number of wagons with which the engine can just move is

The Lucknow-Indore Express without its rake can go 24 km an hour, and the speed is diminished by a quantity that varies as the square root of the number of wagon attached. If it is known that with four wagons its speed is 20 km/h, the greatest number of wagons with which the engine can just move is Correct Answer 143

Speed = $$24 - {\text{k}}\sqrt {\text{n}} $$Putting the value, n = 4we get, k = 2Now the equation (as k = 2) become,S = $$24 - {\text{k}}\sqrt {\text{n}} $$Thus, it means when n = 144, speed will be zero.
Hence, train can just move when 143 wagons are attached

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