Relative Motion In One Dimension

A bus is moving at a speed of ms^-1 on a straight road. A scooterist wishes to overtake the bus in s. If the bus is at a distance of km from the scooterist, with what speed should the scooterist chase the bus?

Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time The time taken by her to walk upon the moving escalator will be:

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Two cities and are connected by a regular bus service with a bus leaving in either direction every A girl is driving scooty with a speed of in the direction to notices that a bus goes past her every in the direction of her motion, and every in the opposite direction. Choose the correct option for the period of the bus service and the speed (assumed constant) of the buses.
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