Question
A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C midway between A and B . If the velocity of he stream is 4 kmph and the speed of the boat in still water is 14 kmph . what is the distance between A and B ?
Answer: Option B
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Speed downstream = (14 + 4) km/hr = 18 km/hr.
Speed upstream = (14 - 4) km/hr = 10 km/hr
let the distance between A and B be `x` km. Then
`x/18 + (x //2)/10 = 19`
`hArr x/18 + x/20 = 19 hArr (19x)/(180) = 19`
`hArr x = 180`.
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