Discover the Period and Speed of a Regular Bus Service Between Two Towns A and B

[rohitm95]

Two towns A and B are connected
by a regular bus service with a bus
leaving in either direction every T
minutes. A man cycling with a
speed of 20 km h –1 in the
direction A to B notices that a bus
goes past him every 18 min in the
direction of his motion, and every
6 min in the opposite direction.
What is the period T of the bus
service and with what speed
(assumed constant) do the buses
ply on the road?

 

[Simon Bridge]

Looks good - what have you tried?
Is this homework?

 

[rohitm95]

No not homework. I know concept of relative velocity will be used to solve this problem but I am having trouble in forming the equations.

 

[Simon Bridge]

It's actually wave motion - doppler effect.

 

[rohitm95]

Aah..got the answer.
time period of bus service= 9 min.
Velocity of bus = 40 km/hr

And thanks for responding.

 

[Simon Bridge]

Well done :)