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Select the correct answerA person can travel a certain distance in 5 hours. If he reduced his speed by 41.66% then he would cover 150 km less in same time. Find the actual speed of that person?Options74 km/hr.75 km/hr.70 km/hr.72 km/hr.

Question

Select the correct answerA person can travel a certain distance in 5 hours. If he reduced his speed by 41.66% then he would cover 150 km less in same time. Find the actual speed of that person?Options74 km/hr.75 km/hr.70 km/hr.72 km/hr.

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Solution

Let's solve this step by step:

  1. Let's assume the original speed of the person is 'x' km/hr. So, the distance he covers in 5 hours is '5x' km.

  2. According to the problem, if the person reduces his speed by 41.66%, he would cover 150 km less in the same time. The reduced speed is (100 - 41.66)% of 'x', which is 58.34% of 'x' or 0.5834x km/hr. So, the distance he covers with the reduced speed in 5 hours is '5*0.5834x' km.

  3. According to the problem, the difference between the distance covered at the original speed and the reduced speed is 150 km. So, we can set up the equation: 5x - 5*0.5834x = 150.

  4. Solving this equation for 'x' gives us the original speed of the person.

5x - 5*0.5834x = 150 5x - 2.917x = 150 2.083x = 150 x = 150 / 2.083 x = 72 km/hr

So, the actual speed of the person is 72 km/hr. Therefore, the correct answer is 72 km/hr.

This problem has been solved

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