Question

Two friends X and Y start running towards each other at the same time from points A and B respectively and meet after 135 minutes. 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 is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
• B. If the data in the statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
• C. If the data either in statement I alone or in statement II alone is sufficient to answer the question.
• D. If the data in both the statements I and II together are not sufficient to answer the question.
• E. If the data in both the statements I and II together are necessary to answer the question.

Answer 1

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


Total time = 2h 15 min,
Let speed of y be S km/h,
Then the speed of x is 1.5 S km/h.
The total time taken $=\frac{Totaldistance}{Totalspeed}$,
$2\frac{1}{4}=\frac{45}{2.5S}\Rightarrow \frac{9}{4}=\frac{45}{2.5S}\Rightarrow =S=\frac{45}{2.5}\times \frac{4}{9}.\therefore Speedofx=1.5S=1.5\times \frac{45}{2.5}\times \frac{4}{9}=12km/h$.