Question

A bus is moving with a constant velocity 10m/s on a straight road. a scooterist wishes to overtake the bus in 100s . if the bus is at distance of 1km from the scooterist ,then the velocity with which scooterist should chase the bus is?

Answer 1

Given:
Time(t)= 100 s , distance (s)=1km= 1000m
Vb=10m/s          (relative speed with respect to the bus)

Velocity (V)=distance /time = 1000/100= 10m/s

Vs= velocity of scooter,  Vb=velocity of bus

V = Vs-Vb         (both bus & scooter are moving in the same direction)
10= Vs-10
10+10 = Vs
20=Vs

Vs=20m/s
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The velocity with which scooterist should chase the bus is20m/s

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Hope this will help you.....

Answer 2

Given :
Velocity of bus = Vbus=10m/s
time=100sec
let V be the relative speed of the scooter with respect to bus.
Let Vs be the velocity of scooter.
As both are moving in the same direction:
V=Vs- Vbus
Vs=V+Vbus
Velocity=Distance/time
=1000/100
=10m/s
Vs=10+10
=20m/s

∴The man on scooter should chase the bus at the speed of 20m/s