__Aptitude Shortcuts Method for Boats and Streams Problems | Download in PDF:__
Aptitude Shortcuts methods that used in aptitude questions related to Boats and Streams Problems were given below in pdf. Candidates those who are preparing for SSC/FCI and all other competitive exams can use this.

**QUESTION**

A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9km/hr and the speed of the current is 3km/hr, find the distance between A and B?

__GIVEN:__

Speed of boat in still water, a = 9km/hr

Speed of stream, b = 3km/hr

Time taken to travel from A to B and B to A, T = 3 hours

__SOLUTION:__

**NORMAL METHOD:**

Speed Downstream = (a + b) km/hr

= (9+3) =

**12 km/hr**
Speed Upstream = (a – b) km/hr

= (9 – 3) =

**6 km/hr**
Let the distance travelled,

**D = X km**
Then,

**[X/speed downstream] + [X/speed upstream] = Time taken to travel**
[X/12] + [X/6] = 3

[X + 2X] / 12 = 3

X + 2X = 36

3X = 36

X = 36/3 = 12

Therefore Distance travelled,

**D = X = 12km**

**ALTERNATE METHOD:**

**Distance = [Time × (a**

^{2 }– b^{2})] / 2a
Where, a = speed of boat in still water

b = speed of stream

D = [3 × (9

^{2}– 3^{2})] / (2 × 9)
D = [3 × (81 – 9)] / 18

D = [3 × 72] /18 = 3×4

Therefore

**D = 12 km**

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