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Two cities A and B are connected by a re...

Two cities `A and B` are connected by a regular bus service with buses plying in either direction every `T` seconds. The speed of each bus is uniform and equal to `V_b`. A cyclist cycles from `A to B` with a uniform speed of `V_c`. A bus goes past the cyclist in `T_1` second in the direction `A to B` and every `T_2` second in the direction `B to A`. Then

A

`T_(1) = (V_(b)T)/(V_(b) + V_(c))`

B

`T_(2) (V_(b)T)/(V_(b) - V_(c))`

C

`T_(1) = (V_(b)T)/(V_(b) - V_(c))`

D

`T_(2) = (V_(b)T)/(V_(b) + V_(c))`

Text Solution

Verified by Experts

The correct Answer is:
C, D
`(v_(b) - v_(c)) T_(1) = v_(b) T`
Bus moving in same direction.
`(v_(b) + v_(c)) T_(2) = v_(b) T`
Bus moving in opposite direction.
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