A bus is moving with a velocity of 10m/s. A motor cyclist wishes to overtake the bus in 60 seconds. With what velocity the motor cyclist should chase the bus which is 1km ahead of him?
How to solve it??
To solve this problem, we need to find the velocity at which the motorcyclist should chase the bus in order to overtake it in 60 seconds.
First, let's convert the distance from kilometers to meters. 1 kilometer is equal to 1000 meters.
Distance = 1000 meters
Time = 60 seconds
The relative velocity between the motorcyclist and the bus should be equal to the distance between them divided by the time taken to cover that distance.
Relative velocity = Distance / Time
Substituting the values:
Relative velocity = 1000 meters / 60 seconds
To find the velocity which the motorcyclist should chase the bus, we need to subtract the velocity of the bus from the relative velocity. Given that the bus is moving at a velocity of 10 m/s:
Chasing velocity = Relative velocity - Bus velocity
Substituting the values:
Chasing velocity = (1000 meters / 60 seconds) - 10 m/s
Now, let's calculate the chasing velocity:
Chasing velocity = (1000 / 60) - 10
Chasing velocity = 16.67 - 10
Chasing velocity = 6.67 m/s
Therefore, the motorcyclist should chase the bus with a velocity of 6.67 m/s in order to overtake it in 60 seconds, assuming constant velocities for both the motorcyclist and the bus.