A boat takes total 16 hours for traveling downstream from point A to point B and coming back point C which is somewhere between A and B. If the speed of the Boat in still water is 9 km/hr and rate of stream is 6 km/hr, then what is the distance between A and C ?
Solution
Correct Answer: Option E
Speed of the boat in downstream = ( 9 + 6 ) km/hr
= 15 km/hr
Speed of the boat in upstream = ( 9 - 6 ) km/hr = 3 km/hr
Let, the distance between A and B is x
the distance between A and C is y
So, the distance between B and C is ( x - y )
According to question,
x/15 + x-y/3 = 16
=> x+5x-5y/15 = 16 => 6x - 5y = 240
To solve y, we should know the value of x or a relation between x and y .
So, the distance can not be determined.
= 15 km/hr
Speed of the boat in upstream = ( 9 - 6 ) km/hr = 3 km/hr
Let, the distance between A and B is x
the distance between A and C is y
So, the distance between B and C is ( x - y )
According to question,
x/15 + x-y/3 = 16
=> x+5x-5y/15 = 16 => 6x - 5y = 240
To solve y, we should know the value of x or a relation between x and y .
So, the distance can not be determined.
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