Question

The speeds of two trains, P and Q, are in the ratio of 4:5. The length of train P is 300 meters. What is the speed of train Q? Statement I: Trains P and Q can cross each other in 20 seconds when they are moving in opposite directions. Statement II: Train P can cross a dog running in the opposite direction at a speed of 10 km/h in 20 seconds.

Q: Answer-The speeds of two trains, P and Q, are in the ratio of 4:5. The length of train P is 300 meters. Wha...

ATQ, Let the speed of trains P and Q be 4x kmhr and 5x kmhr, respectively Statement I According to the question, Let the length of train Q be l metres 4x 5x 518 300 l20 Or, 100x 600 2l So, data in statement I alone is not sufficient to answer the question. Statement II 4x 10 518 30020 Or, 20x 50 18 15 270 Or, 20x 220 Or, x 11 Therefore, speed of train Q 5x 55 kmhr So, data in statement II alone is sufficient to answer the question. So, 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

A 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.

B 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.

C The data either in statement I alone or in statement II alone are sufficient to answer the question.

D The data given in both statements I and II together are not sufficient to answer the question.

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

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