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Question

# A bus crosses a traffic signal post in 10 seconds. What is the length of the bus? I. The bus crosses a platform of 75 metres in 20 seconds. II. The bus is running at the speed of 60 kmph.

A

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

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B

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

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C

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

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D

if the data even in both Statements I and II together are not sufficient to answer the question.

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E

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

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Solution

## The correct option is C if the data either in Statement I or in Statement II alone are sufficient to answer the question. Let the length of the bus be l' metres. Time taken to cross a signal post =Length of the busSpeed of the bus⇒10=1Speed ..... (i) Time taken to cross the platform =(l+75)Speed⇒20=l+75Speed ...... (ii) Thus, from (i) and (ii), we can find l'. Also, II gives, speed =(60×518)m/s=503m/s. Thus, the data in I or II alone are sufficient to answer the question.

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