OSSSC Nursing Officer-2023
Non Nursing Subjects
Hard
A car covers the first 50 Km of its journey in 75 minutes and the remaining 30 Km in 25 minutes. What is the average speed of the car?
Appeared in: OSSSC Nursing Officer-2023
Explanation
- The formula for average speed is Total Distance ÷ Total Time.
- The total distance covered is the sum of the two parts of the journey: 50 km + 30 km = 80 km.
- The total time taken is the sum of the time for both parts: 75 minutes + 25 minutes = 100 minutes.
- To match the units in the options (Km/h), the total time must be converted to hours: 100 minutes ÷ 60 minutes/hour = 5/3 hours.
- Calculating the average speed: 80 km ÷ (5/3 hours) = (80 × 3/5) km/h = 48 km/h.
Why Other Options Were Wrong
- Option A: This is the speed for the first part of the journey only (50 km / 1.25 h = 40 km/h), not the average speed for the entire trip.
- Option C: This value is an incorrect calculation. It does not result from applying the correct formula for average speed to the given data.
- Option D: This value is an incorrect calculation. A common mistake is to average the speeds of the two segments, but that is only valid if the time intervals are equal, which they are not.
Related Visual
Clinical Relevance
- Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculation of Average Speed as background academic context rather than a clinical decision trigger.
- While this is a mathematics question, the underlying concept of calculating rates is a fundamental skill required in nursing.
- Nurses frequently calculate rates for IV infusions (mL/hour), medication dosages over time, and monitoring physiological changes like urine output (mL/hour).
- Mastery of such calculations ensures patient safety by preventing incorrect dosage and fluid administration.
How to Approach the Question
- First, identify the core question, which is to find the 'average speed'.
- Recall the fundamental formula: Average Speed = Total Distance / Total Time.
- Calculate the total distance by summing the distances from each part of the journey (50 km + 30 km).
- Calculate the total time by summing the time taken for each part (75 min + 25 min).
- Check the units required for the answer (Km/h) and convert your calculated total time from minutes to hours.
- Finally, substitute the total distance and total time (in hours) into the formula to find the average speed.
Concept Tested & Keywords
- Concept Tested: Calculation of Average Speed
- Stem keywords: car, average speed, distance, time, 50 Km, 75 minutes, 30 Km, 25 minutes
- Lead-in keywords: What is
Question ID
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