Discussion Forum : Physics
Question -
A motor boat covers the distance between two spots on the river banks in `t_1 = 8 h` and `t_2 = 12 h` in down steam and upstream respectively . The time required for the boat to cover this distance in still water will be
Answer: Option B
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Let the distance between spots A and B is `l`.
`u`= speed of river stream
`v` = speed of motor boat in still water
During downstream ,
`t_1 = (l)/(v + u)`.........................................................(i)
Similarly in upstream
`t_2 = (l)/(v - u)`.....................................................(ii)
In still water , `t = l/v` .........................................................(iii)
After solving equation (i), (ii) and (iii) , we get .
`t `= 9.6 hour.
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