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Reena runs at a speed of 8 km/h. How long will she take to cover 200 m?
175 seconds
54 seconds
90 seconds
120 seconds
90 seconds
Convert speed from km/h to m/s by multiplying by 185 (i.e., 8×185=920 m/s), then divide the distance by this speed to find the time in seconds.
Speed of Reena = 8 km/h, Distance to cover = 200 m
Time=SpeedDistance
Convert speed from km/h to m/s by multiplying by 185 (i.e., 8×185=920 m/s), then divide the distance by this speed to find the time in seconds.
Forgetting to convert km/h to m/s before dividing distance in meters, leading to incorrect unit dimensions.
Convert speed to m/s
Since the distance is given in meters (200 m), we must convert the speed from km/h to m/s using the conversion factor 185.
Speed=8×185=920 m/s
Apply the time formula
Use the formula Time=SpeedDistance with distance =200 m and speed =920 m/s.
Time=920200=200×209
Perform calculation
Simplify the fraction to get the final time in seconds.
Time=10×9=90 seconds
C is correct because Reena takes 90 seconds to cover a distance of 200 meters at a speed of 8 km/h.
Always ensure consistent units (meters and seconds, or kilometers and hours) before applying motion formulas in physics and quantitative aptitude problems.
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