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Select the correct answerWalking at 34 of his usual speed, a man is 1.5 hours late. His usual time to cover the same distance, (in hours) is?Options44.56

Question

Select the correct answerWalking at 34 of his usual speed, a man is 1.5 hours late. His usual time to cover the same distance, (in hours) is?Options44.56

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Solution

The problem can be solved using the concept of relative speed.

Step 1: Let's denote the man's usual speed as S (in km/h) and the time he usually takes to cover the distance as T (in hours).

Step 2: When the man walks at 3/4 of his usual speed, his speed becomes 3S/4 km/h.

Step 3: The time it takes for him to cover the same distance at this slower speed is the usual time T plus the 1.5 hours he is late. So, the time at the slower speed is T + 1.5 hours.

Step 4: Since the distance is the same in both cases, we can set up the equation: ST = (3S/4)(T + 1.5).

Step 5: Simplifying this equation, we get T = 6 hours.

So, the man's usual time to cover the same distance is 6 hours.

This problem has been solved

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