If a train, with a speed of 60 km/hr, crossed a pole in 60 second, the length of the train (in meters) is?

Appeared in: DHS 2018 shift 1st

Explanation

The fundamental principle is that when a train crosses a point object like a pole, the distance it covers is equal to its own length.
The speed is given in km/hr and time in seconds, so a unit conversion is necessary. 60 km/hr is equivalent to (60 * 5/18) = 50/3 m/s.
Using the formula Distance = Speed × Time, the length of the train is calculated as (50/3 m/s) × 60 s.
The calculation simplifies to 50 × 20, which equals 1000 meters.

Option B: This value results from an incorrect calculation. A length of 900 meters would require a different time or speed.
Option C: This is an arbitrary number that does not correspond to the product of the given speed and time, regardless of unit conversions.
Option D: This value results from an incorrect calculation. A length of 500 meters would imply a shorter crossing time.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculation of distance, speed, and time, specifically for problems involving trains as background academic context rather than a clinical decision trigger.
This is a general aptitude and reasoning question, designed to test mathematical skills rather than clinical knowledge.
Such questions are common in the non-nursing sections of competitive nursing entrance exams, assessing a candidate's overall analytical abilities.
What if the train was crossing a 200-meter long platform? In that case, the total distance covered would be (Length of Train + 200m). The equation would be (1000 + 200) = (50/3) * Time, and you would solve for Time.

How to Approach the Question

First, identify the given variables from the question: Speed = 60 km/hr and Time = 60 seconds.
Recognize the core concept being tested: when a train crosses a stationary point object (like a pole), the distance covered is equal to the train's own length.
Check for consistency in units. The speed is in km/hr, while the time is in seconds and the answer options are in meters. This indicates a unit conversion is required.
Convert the speed from km/hr to m/s by multiplying by the standard conversion factor of 5/18.
Apply the fundamental formula: Distance = Speed × Time. In this context, it becomes Length of Train = Speed (in m/s) × Time (in s).
Perform the calculation and compare the result with the given options to find the correct answer.

Concept Tested & Keywords

Concept Tested: Calculation of distance, speed, and time, specifically for problems involving trains.
Stem keywords: train, speed, 60 km/hr, crossed a pole, 60 second, length of the train
Lead-in keywords: is?

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Practise the full DHS 2018 shift 1st

Attempt every question from this paper in a timed mock, then review the full solution for each one.