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QA man travels to his office at one-third the speed with which he returns. What pace does the man go to work at if his average speed for the entire route is 24 km/hr?
ID: #4721
Time and Distance
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Time and DistanceTopic
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The man's speed when he returns from the office is X km/hr, and his speed when he goes to the office is 2/3X km/hr. To find the average speed, we can add the speeds at which the man travels to and from the office and divide by 2. The average speed is then (X + 2/3X) / 2 = (5/3X) / 2 = 5/6X km/hr. If the man's speed when he returns from the office is 30 km/hr, then his speed when he goes to the office is 2/3X = 2/3 * 30 = 20 km/hr.
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