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

AI Thread Summary
The discussion revolves around determining the period and speed of a regular bus service between two towns, A and B. A cyclist traveling at 20 km/h observes buses passing him every 18 minutes in the direction of travel and every 6 minutes in the opposite direction. The solution involves using the concept of relative velocity, leading to the conclusion that the bus service has a period of 9 minutes and the buses travel at a speed of 40 km/h. The problem is resolved with a clear understanding of wave motion principles, specifically the Doppler effect. The conversation concludes with acknowledgment of the correct answers.
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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?
 
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Looks good - what have you tried?
Is this homework?
 
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.
 
It's actually wave motion - doppler effect.
 
Aah..got the answer.
time period of bus service= 9 min.
Velocity of bus = 40 km/hr

And thanks for responding.
 
Well done :)
 

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