A bus is moving with 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 ?

Question

A bus is moving with 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 ? (A)  40 ms-1  (B)  25 ms-1  (C)  10 ms-1  (D)  20 ms-1

Tardigrade Admin · Accepted Answer

Let v, be the velocity of the scooter, the distance between the scooter and the bus =1000 m, The velocity of the bus =10 ms -1 Time taken to overtake =100 s Relative velocity of the scooter with respect to the bus =( v s -10) ∴ (1000/(vs-10))=100 s ⇒ vs=20 ms -1

Q. 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 scooterist with what speed should the scooterist chase the bus ?

$40 m s^{- 1}$

$25 m s^{- 1}$

$10 m s^{- 1}$

$20 m s^{- 1}$

Q. A bus is moving with a speed of 10ms−1 on a straight road. A scooterist wishes to overtake the bus in 100s . If the bus is at a distance of 1km from the scooterist with what speed should the scooterist chase the bus ?

40ms−1

25ms−1

10ms−1

20ms−1

Let v, be the velocity of the scooter, the distance between the scooter and the bus =1000m, The velocity of the bus =10ms−1 Time taken to overtake =100s Relative velocity of the scooter with respect to the bus =(vs​−10) ∴(vs​−10)1000​=100s ⇒vs​=20ms−1

Q. 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 scooterist with what speed should the scooterist chase the bus ?

$40 m s^{- 1}$

$25 m s^{- 1}$

$10 m s^{- 1}$

$20 m s^{- 1}$