A plane can cover 6000 km in 8 hours. If the speed is increased by 250 kmph, then the time taken by the plane to cover 9000 km is?

Appeared in: SGPGI Nursing Officer-2023

Explanation

The first step is to calculate the plane's original speed using the formula Speed = Distance / Time, which is 6000 km / 8 hours = 750 km/h.
Next, the new speed is found by adding the increase to the original speed: 750 km/h + 250 km/h = 1000 km/h.
Finally, the time to cover the new distance is calculated using Time = Distance / Speed, which is 9000 km / 1000 km/h = 9 hours.

Option A: This is the time taken to cover the original distance of 6000 km, not the new distance of 9000 km with the increased speed.
Option B: This is an incorrect calculation. To get 6 hours, the distance would need to be 6000 km at the new speed of 1000 km/h (6000/1000 = 6).
Option C: This is an incorrect calculation. A time of 5 hours would require a speed of 1800 km/h to cover 9000 km (9000/5 = 1800), which is not the calculated new speed.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculation of time based on speed and distance as background academic context rather than a clinical decision trigger.
The fundamental formula Rate = Volume / Time is a direct parallel to Speed = Distance / Time and is essential for safe nursing practice, particularly in medication administration.
Nurses use this principle daily to calculate IV infusion rates (mL/hr), ensuring patients receive the correct volume of fluid or medication over a prescribed period.
What if? If a nurse needs to infuse 1000 mL of Normal Saline over 10 hours, the rate is 100 mL/hr. If the physician changes the order to infuse the remaining 500 mL over 2 hours, the nurse must recalculate the new rate to 250 mL/hr to comply with the updated medical order.

How to Approach the Question

First, identify all the numerical values and what they represent: initial distance (6000 km), initial time (8 hours), speed increase (250 kmph), and final distance (9000 km).
Recognize that this is a multi-step problem. You cannot directly calculate the final time without first finding the speed.
Use the formula Speed = Distance / Time to calculate the plane's initial speed.
Add the given increase to the initial speed to determine the new speed.
Finally, use the formula Time = Distance / Speed with the new distance and new speed to find the answer.
Double-check your calculations to ensure accuracy.

Concept Tested & Keywords

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