Two railway convoys measuring 140 meters and 120 meters progress in the identical direction at 40 kmph and 60 kmph respectively. How long will the faster convoy take to overtake the slower one?
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Answer: C. 0.78 minutes
Explanation
The relative speed of the faster convoy overtaking the slower one equals the difference of their speeds. Subtracting forty kilometers per hour from sixty kilometers per hour yields a relative speed of twenty kilometers per hour. Dividing the total combined length of two hundred sixty meters by relative speed determines the time in minutes. Relative velocity calculations determine how fast one moving object approaches or passes another in the same direction. Converting kilometers per hour into meters per minute ensures consistent dimensional units during time calculations. The total distance to be covered during an overtaking maneuver equals the sum of both convoy lengths.
Option A suggests zero point sixty minutes which overestimates the time required for the overtaking maneuver. Option B proposes zero point thirty-six minutes which underestimates the time calculated from relative speed. Option D implies zero point fourty-two minutes which fails to match the exact mathematical duration quotient.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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