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NORCET 7 Prelims -2024
Quantitative Aptitude and Mathematics
Hard

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: NORCET 7 Prelims -2024

Explanation

  • First, calculate the plane's original speed using the formula Speed = Distance / Time. With a distance of 6000 km and a time of 8 hours, the speed is 750 km/h.
  • Next, determine the new speed by adding the given increase. The new speed is 750 km/h + 250 km/h = 1000 km/h.
  • Finally, calculate the time required for the new journey using the formula Time = Distance / Speed. With a new distance of 9000 km and the new speed of 1000 km/h, the time taken is 9 hours.

Why Other Options Were Wrong

  • Option B: This result does not follow from the correct application of the speed, distance, and time formulas. It is a calculation error.
  • Option C: This is the time it would take to cover the original distance (6000 km) at the new speed (1000 km/h). The question asks for the time to cover 9000 km.
  • Option D: This is the original time taken for the first journey (6000 km). It does not account for the change in distance and speed.

Related Visual

Infographic: A visual triangle diagram showing the relationship between Speed, Distance, and Time, with formulas for calculating each variable S\=D/T, T\=D/S, D\=S×T.
  • Visual 1: Infographic: A visual triangle diagram showing the relationship between Speed, Distance, and Time, with formulas for calculating each variable (S=D/T, T=D/S, D=S×T).
Clinical Relevance
  • Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Application of Speed, Distance, and Time formulas in a two-step problem as background academic context rather than a clinical decision trigger.
  • This question tests foundational quantitative reasoning skills, which are essential for tasks like medication dosage calculation, IV drip rate monitoring, and interpreting patient data over time.
  • Accuracy in multi-step calculations is critical in nursing to prevent errors. This problem requires breaking down a larger question into smaller, manageable steps.
  • What if the speed was decreased by 150 kmph? The original speed is 750 km/h. The new speed would be 600 km/h. The time to cover 9000 km would be 9000 / 600 = 15 hours.
How to Approach the Question
  • First, identify all the numerical values given in the problem: initial distance (6000 km), initial time (8 hours), speed increase (250 kmph), and final distance (9000 km).
  • Recognize that this is a two-part problem. You must first find a value from the initial conditions (speed) before you can solve for the final condition (time).
  • Use the formula Speed = Distance / Time to calculate the plane's original speed.
  • Calculate the new speed by adding the specified increase to the original speed.
  • Use the formula Time = Distance / Speed with the new distance and new speed to find the final answer.
  • Double-check that you have used the correct values for each step (e.g., using the new distance with the new speed, not mixing them with old values).
Concept Tested & Keywords
  • Concept Tested: Application of Speed, Distance, and Time formulas in a two-step problem.
  • Stem keywords: plane, 6000 km, 8 hours, speed increased, 250 kmph, 9000 km
  • Lead-in keywords: time taken

Question ID

Q-K41-LIVmxYri96nXj6tX

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