question_answer

Directions: in each of the given questions, one question and two statements numbered I and II are given. You have to decide whether the data given in both the statements are sufficient to answer the question or not. Read both statements and give answer.

Two friends X and Y start running towards each other at the same time from points A and B, respectively and meet after 135 min. At what speed is X running?

I. Point B is 45 km away from point A and speed of X is 150% of the speed of Y.

II. Distance covered by Y was 18 km.

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

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

C) If the data either in statement I alone or in statemant II alone are sufficient to answer the question

D) If the data in both statements I and II together are not sufficient 10 answer the question

E) If the data in both the statements I and II together are necessary to answer the question

Correct Answer: A

Solution :

Total time taken = 2 h 15 min

Let speed of y be S km/h.

Speed of x be 1.5 S km/h.

Total time taken \[=\frac{\text{Total}\,\text{distance}}{\text{Total}\,\text{speed}}\]

\[\Rightarrow \]   \[\text{2}\frac{1}{4}=\frac{45}{2.5\,\,S}\]

\[\Rightarrow \]   \[\frac{9}{4}=\frac{45}{2.5\,\,S}\]\[\Rightarrow \]\[S=\frac{45}{2.5}\times \frac{4}{9}\]

\[\therefore \] Speed of \[x=1.5\,S=1.5\times \frac{45}{25}\times \frac{4}{9}=12\,\,km/h\]Statement II is superlous.