Two cities \(X \) and \(Y\) are connected by a regular bus service with a bus leaving in either direction every \(T~\text{min}.\) A girl is driving scooty with a speed of \(60~\text{km/h}\) in the direction \(X\) to \(Y\) notices that a bus goes past her every \(30~\text{minutes}\) in the direction of her motion, and every \(10~\text{minutes}\) in the opposite direction. Choose the correct option for the period \(T\) of the bus service and the speed (assumed constant) of the buses.
1. \(10 ~\text{min},~ 90~ \text{km/h}\)
2. \(15 ~\text{min},~ 120~ \text{km/h}\)
3. \(9 ~\text{min},~ 40~ \text{km/h}\)
3. \(25 ~\text{min},~ 100~ \text{km/h}\)
Subtopic:  Relative Motion in One Dimension |
From NCERT
NEET - 2025
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A person standing on the floor of an elevator drops a coin. The coin reaches the floor in time \(t_1,\) if the elevator is moving uniformly and time \(t_2,\) if the elevator is stationary. Then:
1. \(t_1<t_2 \) or \(t_1>t_2 \) depending upon whether the lift is going up or down.
2. \(t_1<t_2 \)
3. \(t_1>t_2 \)
4. \(t_1=t_2 \)

Subtopic:  Relative Motion in One Dimension |
 53%
From NCERT
NEET - 2019
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Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time \(t_1.\) On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time \(t_2.\) The time taken by her to walk upon the moving escalator will be:

1. \(\dfrac{t_1t_2}{t_2-t_1}\) 2. \(\dfrac{t_1t_2}{t_2+t_1}\)
3. \(t_1-t_2\) 4. \(\dfrac{t_1+t_2}{2}\)
Subtopic:  Relative Motion in One Dimension |
 74%
From NCERT
NEET - 2017
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A bus is moving at a speed of \(10\) ms-1 on a straight road. A scooterist wishes to overtake the bus in \(100\) s. If the bus is at a distance of \(1\) km from the scooterist, with what speed should the scooterist chase the bus?
1. \(20\) ms-1
2. \(40\) ms-1
3. \(25\) ms-1
4. \(10\) ms-1
Subtopic:  Relative Motion in One Dimension |
 78%
From NCERT
AIPMT - 2009
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