Question

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?

• A. 40 m s^-1
• B. 25 m s^-1
• C. 10 m s^-1
• D. 20 m s^-1

Answer 1

Answer: (D)

20 m s^-1

Answer 2

Let $v_{s}$be the velocity of scooter. The distance between the scooter and the bus = 1 km = 1000 m.

The velocity of bus, $v_{b} = 10ms^{- 1}$

Time taken to overtake the bust, t = 100s.

Relative velocity of the scooter w.r.t. the bus =

($v_{s} = 10$) $\therefore t = \frac{1000}{(v_{s} - 10)} = 100orv_{s} = 20ms^{- 1}$