A locomotive engine without any wagons attached to it can run @35 km/hr and its speed diminished by a quantity which varies as the square root of the number of wagons attached. If With 16 wagons its speed is 15 kmph. What is the least number of wagons that the engine will fail to move ?
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Answer:
49 number of Wagons
Step-by-step explanation:
A locomotive engine without any wagons attached to it can run @35 km/hr
Speed of locomotive = 35 - k√n
k is a constant
n - number of wagons attched
for n = 16 speed = 15 km/hr
=> 15 = 35 - k√16
=> 20 = 4k
=> k = 5
=> speed = 35 - 5√n
least number of wagons that the engine will fail to move
=> speed = 0
=> 0 = 35 - 5√n
=> √n = 7
=> n = 49
49 number of Wagons
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