| Direction: In each of the following questions read the given statements and compare the given two quantities on its basis. |
| Quantity I. If a train moving at a uniform speed covers a distance of 45 km in 30 minutes, find the distance it will cover in 1 hour 24 minutes. |
| Quantity II. If a person travels equal distances at the speed of 4 km/hr, 5 km/hr and 6 km/hr respectively and takes a total time of 74 minutes, then find the total distance covered. |
A) Quantity I > Quantity II
B) Quantity I \[\ge \] Quantity II
C) Quantity I \[\le \] Quantity II
D) Quantity I < Quantity II
E) No relation between Quantity I and II
Correct Answer: A
Solution :
Quantity I. Distance covered in 30 minutes = 45 km \[\therefore \] Distance covered in (60 + 24) minutes\[=\frac{45}{30}\times 84=126\,km\] Quantity II. Let the total distance be 3x km. Then, \[\frac{x}{4}+\frac{x}{5}+\frac{x}{6}=\frac{74}{60}\] or, \[\frac{15x+12x+10x}{60}=\frac{74}{60}\] or, \[\frac{37x}{60}=\frac{74}{60}\] or, \[x=2\,km\] \[\therefore \] Total distance = 6 km
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