Question

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

Options

• 40 ms⁻¹

• 25 ms⁻¹

• 10 ms⁻¹

• 20 ms⁻¹

Answer 1

20 ms⁻¹

Explanation:

Let v denote the relative speed of the scooter in relation to the bus.

V = V_S - V_B

V = `1000/100`

= 10 ms⁻¹ V_B 

= 10 ms⁻¹ 

∴ V_S = V + V_B 

= 10 + 10 

= 20 ms⁻¹

∴ velocity of scooter = 20 ms⁻¹