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Rahul kumar ray

· started a discussion

· 1 Months ago

Fg (Question:289861.0)

Ff

Question:

 The speed of a railway engine is 42 Km per hour when no compartment is attached, and the reduction in speed is directly proportional to the square root of the number of compartments attached. If the speed of the train carried by this engine is 24 Km per hour when 9 compartments are attached, the maximum number of compartments that can be carried by the engine is:

Options:
A)

49

B)

48

C)

46

D)

47

Solution:

18 ∝  √√  9

42 ∝  √√  x ; Here x = number of compartments

1842=9x18 over 42 =sqrt 9 over x  

Simplifying, x = 49, but this is with reference to maximum speed. Hence number of compartments would be one less in order to run i.e. 48.

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