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An engine without wagon can go at the rate of 24 kmph and  its speed diminishes  by a quantity which varies as the square root of the
number of wagons attached. With four wagons its speed 20 kmph. The greatest number of wagons with which the wagon can move is :


Options:
A .   143
B .   144
C .   145
D .   122
E .   123
Answer: Option A
:
A

Decrease in speed = 24 - 20 = 4
4=k4k=2


Now, for the speed to decrease to zero
24=kx, where x is the number of wagons which


 will stop the engine


 X= 144


The greatest number of wagons with which the wagon can move is 143



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