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Question no. 56646

Two pedestrians depart from an identical spot moving in the identical direction at 5 kmph and 5.5 kmph respectively. How much time will pass before they are separated by 8.5 km?

Select your answer for: Two pedestrians depart from an identical spot moving in the identical direction at 5 kmph and 5.5 kmph respectively. How much time will pass before they are separated by 8.5 km?
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Answer: A. 17 hr

Explanation

The relative speed between two pedestrians moving in the identical direction is calculated by subtracting their speeds. Subtracting five kilometers per hour from five point five kilometers per hour yields a relative speed of zero point five kilometers per hour. Dividing the desired separation distance of eight point five kilometers by the relative speed gives a time of seventeen hours. Relative speed in the same direction measures how quickly the distance between two moving objects increases over time. Distance equals the product of relative speed and the total elapsed time between the moving subjects. Pedestrian motion problems apply basic kinematics principles to constant velocity travel scenarios.

Fourteen hours underestimates the time required for the slow relative speed to achieve the target separation distance. Twelve hours is mathematically inconsistent with the zero point five kilometers per hour relative speed rate. Nineteen hours overestimates the required time interval by failing to divide the distance correctly by relative speed.

Subject
Mathematics
Category
Mathematics
Topic
—
Difficulty
medium

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