A bus is moving with a speed of `10 m s^(-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 scooteritst with what speed should the scooterist chase the bus?

Options

A. `40ms^(-1)`
B. `25 ms^(-1)`
C. `10 ms^(-1)`
D. `20 ms^(-1)`

Answer

D

Explanation

Let v be the relative velocity of scooter w.r.t bus as v
`v= v_(S)-v_(B)`
`v= (1000)/(100) = 10 ms^(-1) , v_(B) = 10ms^(-1)`
`:. v_(S) = v + v_(B)`

`=10 + 10 + 20 ms^(-1)`
`:.` velocity of scooter `= 20ms^(-1)`