A 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?Options75 km/hr.70 km/hr.72 km/hr.74 km/hr.
Question
A 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?Options75 km/hr.70 km/hr.72 km/hr.74 km/hr.
Solution
Let's solve this step by step:
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Let's assume the original speed of the person is 'x' km/hr. So, the distance he covers in 5 hours is '5x' km.
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According to the problem, if the person reduces his speed by 41.66%, he would cover 150 km less in the same time. The new speed is 'x - 0.4166x' = '0.5834x' km/hr. So, the distance he covers in 5 hours at the reduced speed is '5 * 0.5834x' km.
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The difference in the distances covered at the original speed and the reduced speed is given as 150 km. So, we can set up the equation: 5x - 5 * 0.5834x = 150.
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Solving this equation gives: x = 72 km/hr.
So, the actual speed of the person is 72 km/hr. Therefore, the correct option is 72 km/hr.
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