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Swarna runs at a speed of 10┬аkm/h. How long will she take to cover 200┬аm?
120 seconds
54 seconds
90 seconds
72 seconds
72 seconds
Convert speed to m/s by multiplying by 5/18 (10├Ч5/18=25/9 m/s), then divide distance by speed: 200/(25/9)=200├Ч9/25=8├Ч9=72 seconds.
Speed v=10┬аkm/h, distance d=200┬аm.
t=vdтАЛ
Convert speed to m/s by multiplying by 5/18 (10├Ч5/18=25/9 m/s), then divide distance by speed: 200/(25/9)=200├Ч9/25=8├Ч9=72 seconds.
Forgetting to convert units from km/h to m/s before dividing distance in meters, or confusing kilometers with meters.
Convert speed to m/s
To match the distance in meters, convert the speed from 10┬аkm/h to m/s using the conversion factor 5/18.
v=10├Ч185тАЛ=1850тАЛ=925тАЛ┬аm/s
Calculate time taken
Use the formula for time, t=distance/speed, with the converted units.
t=925тАЛ200тАЛ=200├Ч259тАЛ
Final calculation
Perform the division and multiplication: 200/25=8, then 8├Ч9=72.
t=8├Ч9=72┬аseconds
D is correct because the calculated time to cover 200┬аm at 10┬аkm/h is exactly 72┬аseconds.
Always ensure units match (m/s with meters, km/h with kilometers) before substituting values into any physics formula.