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Two towns A and B are connected by a reg...

Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T minutes. A man ccling with a speed of `20 km h^(-)` 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 oppsite direction. What is the period T of the bus service and with what speed (assi,ed cpmstant) do the buses ply on the rod?

Text Solution

Verified by Experts

The correct Answer is:
9 min, 40 km `hr^(-1)`
`(V_(B)T)/(V_(B)-20)=18, (V_(B)T)/(V_(B)+20)=6, (V_(B)+20)/(V_(B)-20)=3`

`rArr V_(B)+20=3V_(B)-60 v_(B)=40 km//h`
`:. T=(6(V_(B)+20))/(V_(B))=(6xx60)/(40)=9 min`
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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 min. 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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Knowledge Check

  • Two town A and B are connected by a regular bus service with a bus leaving in either direction every T minutes. A man leaving in either direction every 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. The period T of the bus service is

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    B
    9 min
    C
    1.2 min
    D
    24 min

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    second law of motion
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