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

In summary, the conversation discusses the regular bus service between towns A and B with a bus leaving every T minutes. A man cycling at 20 km/h notices that a bus passes him every 18 minutes in the direction of his motion and every 6 minutes in the opposite direction. The conversation then addresses the period T and speed of the buses, which is solved using the concept of relative velocity and the equation for wave motion, the Doppler effect. The time period for the bus service is determined to be 9 minutes and the velocity of the bus is found to be 40 km/h. The conversation concludes with thanks for the response and confirmation of the correct answer.
  • #1
rohitm95
6
0
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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  • #2
Looks good - what have you tried?
Is this homework?
 
  • #3
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.
 
  • #4
It's actually wave motion - doppler effect.
 
  • #5
Aah..got the answer.
time period of bus service= 9 min.
Velocity of bus = 40 km/hr

And thanks for responding.
 
  • #6
Well done :)
 

1. What is the purpose of determining the period and speed of a regular bus service between two towns A and B?

The purpose of determining the period and speed of a regular bus service between two towns A and B is to gather data and information about the frequency and speed of the service. This information can be useful for planning and improving the efficiency of the bus service, as well as for providing accurate and reliable information to passengers.

2. How is the period of a regular bus service between two towns A and B calculated?

The period of a regular bus service between two towns A and B is calculated by measuring the time it takes for the bus to travel from town A to town B and back to town A. This time is then divided by the number of trips made in a day to get the average period of the bus service.

3. What factors can affect the speed of a regular bus service between two towns A and B?

There are several factors that can affect the speed of a regular bus service between two towns A and B. These include traffic conditions, weather, road conditions, and the number of stops along the route. Delays caused by any of these factors can impact the overall speed of the bus service.

4. How can the period and speed of a regular bus service between two towns A and B be used to improve the service?

The period and speed of a regular bus service between two towns A and B can be used to identify areas for improvement. For example, if the period is too long, adjustments can be made to the schedule to reduce wait times for passengers. If the speed is too slow, measures can be taken to improve the efficiency of the service, such as adding dedicated bus lanes or adjusting the route to avoid congested areas.

5. Is it necessary to continually monitor the period and speed of a regular bus service between two towns A and B?

Yes, it is necessary to continually monitor the period and speed of a regular bus service between two towns A and B. This is because factors such as population growth, changes in traffic patterns, and road construction can all impact the efficiency and speed of the service. By regularly monitoring and analyzing this data, adjustments can be made to ensure the bus service remains efficient and reliable for passengers.

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