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A boat travels upstream from B to A and downstream from A to B in 3 h. If the speed of the boat in still water is 9 km/h and the speed of the current is 3 km/h, what is the distance between A and B?
Speed of the boat upstream =9-3 =6 km/hr
Speed of the boat downstream=9+3=12 km/hr
Let the distance between A and B be x kms.
So,time taken to travel x km upstream by boat= x/6 hrs.
And time taken to travel x kms downstream = x/12 hrs.
According to the question ,
x/6 + x/12 =3
x[1/6 + 1/12]=3
x = 4×3 =12
So, distance between A and B is 12 kms.
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