Boats and Streams

Rarely Tested

BOATS & STREAMS

  • If the speed of water is 'W' and speed of a boat in still water is 'B'

    1. Speed of the boat downstream is B+W
    2. Speed of the boat upstream is B-W

The direction along the stream is called downstream. And, the direction against the stream is called upstream.

If the speed of the boat downstream is x km/hr and the speed of the boat upstream is y km/hr, then

                                      Speed of boat in still water= $$\dfrac{x+y}{2}$$ km/hr
                                      Speed of stream= $$\dfrac{x-y}{2}$$ km/hr

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      Question 1

      Ram can row 30 km in 3 hours in still water. If the speed of the river is 5 km/hr and it takes him 4 hours to do a round trip from A to B and back, find the distance between A and B?

      Question 2

      It takes Ajay six hours lesser to row a boat from A to B than the other way around. If Ajay and his twin Alay (who rows at the same speed as Ajay) row together, it takes them 72 minutes lesser to row a boat from A to B than B to A. What is the ratio of Ajay's speed downstream to upstream?

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      Speed - Distance - Time

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