A car takes 5 hours to cover a distance of 300 km. How much should the speed in kmph be maintained to cover the same distance in (4/5) of the previous time?

1. A

   75

2. B

   50

3. C

   60

4. D

   48

Appeared in: NHM MP Staff Nurse-2022

Explanation

• The core task is to calculate a new speed based on a reduced time for a fixed distance.
• First, calculate the new, reduced time: (4/5) of the original 5 hours is 4 hours.
• Next, apply the formula Speed = Distance / Time.
• Using the fixed distance of 300 km and the new time of 4 hours, the required speed is 300 km / 4 hours = 75 km/h.

Why Other Options Were Wrong

• Option B: A speed of 50 km/h would mean the journey takes 6 hours (300 km / 50 km/h), which is longer than the required time.
• Option C: This is the car's original speed (300 km / 5 hours = 60 km/h). The question asks for the new speed required for the shorter travel time.
• Option D: A speed of 48 km/h would result in a travel time of 6.25 hours (300 km / 48 km/h), which is incorrect.

Related Visual

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculation of Speed, Distance, and Time as background academic context rather than a clinical decision trigger.
• This question tests basic numeracy and problem-solving skills, which are fundamental for various calculations in professional settings, including dosage calculations and rate-of-flow computations in nursing.
• What if the question asked to cover the distance in (6/5) of the previous time? The new time would be (6/5) * 5 = 6 hours. The new speed would be 300 km / 6 hours = 50 km/h.

How to Approach the Question

• First, carefully read the question to identify all the given values: Distance = 300 km and Initial Time = 5 hours.
• Recognize that the core of the problem is to find a new speed for a new time while the distance remains constant.
• Calculate the new time by applying the fraction to the original time: New Time = (4/5) * 5 hours = 4 hours.
• Recall the fundamental formula relating speed, distance, and time: Speed = Distance / Time.
• Substitute the known distance and the newly calculated time into the formula: Speed = 300 km / 4 hours.
• Perform the division to find the final answer (75 km/h) and match it with the given options.

Concept Tested & Keywords

• Concept Tested: Calculation of Speed, Distance, and Time
• Stem keywords: car, distance, 300 km, time, 5 hours, speed
• Lead-in keywords: How much

Question ID

Q6UYnuq9S_VR37bNDAF7Y2

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