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?
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?
Solution
Sure, let's solve this step by step:
Step 1: Let's assume the actual speed of the person is 'x' km/hr. So, the distance he covers in 5 hours is '5x' km.
Step 2: If he reduces his speed by 41.66%, his new speed becomes 'x - 0.4166x' = '0.5834x' km/hr.
Step 3: The distance he covers at this reduced speed in 5 hours is '5 * 0.5834x' = '2.917x' km.
Step 4: According to the problem, '5x - 2.917x' = 150 km. Simplifying this, we get '2.083x' = 150 km.
Step 5: Solving for 'x', we get 'x' = 150 / 2.083 = 72 km/hr.
So, the actual speed of the person is 72 km/hr.
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