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What is the length of the train ? I. T...

What is the length of the train ?
I. The train crosses a signal post in 9 seconds.
II. If the train with speed x kmph crosses another train 100m long coming from the opposite direction at 60 kmph in 15 seconds.

A

if the data in statement I alone are sufficient to answer the questin, while the data in statement II alone are not sufficient to answer the question.

B

if the data in statement II alon are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

C

if the data either in statement I alone or in statement II alone in sufficient to answer the question.

D

if the data in both the statements I and II together are necessary to answer the question.

Text Solution

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From both the statements,
If the length of the train by y meter,
Speed of train `=y/9m//sec=y/9xx18/5=(2y)/(5)kmph`
Again, `((5y)/(9xx18)+60)==(15)/(60xx60)=(y+100)/(1000)`
`implies((5y)/(9xx10)+60)xx15/36=(y+100)/(10)" "...(i)`
It is to be noted that when a train crosses a pole, the distance covered = length of the train, When it crosses another train,
Relative speed `xx` time = sum of lengths of both trains. Hence, from equation (i), we can determine length or train. Length is (-ve) neglect that sign.
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