### Chapter: Boats And Streams

Important formulae and tricks and shortcuts of Boats And Sreams :

We are providing you Important Concepts and Tricks on Boats And Sreams which are usually asked in almost all competitive exams like IBPS, Govt. Exams and CAT and in quantitative aptitude of MNCs. Use these below given tricks to solve questions within minimum time. These tricks will be very helpful for your upcoming Competitive Exam.

Terms Related To Boats And Sreams:

Speed of the boat:It refers to the velocity of the boat in standing water ,let it be X.

Speed of the Stream: It refers to the velocity at which the water flows,let it be Y.

Upstream Speed (U): It is expressed as the (Speed of the Boat – Speed of the Stream) =X-Y.

They row the boat in  the opposite direction to the flow of the stream.

Downstream Speed (D): It is expressed as the (Speed of the Boat + Speed of the Stream) =X+Y.

They Row along the flow of Stream.

Speed of the boat in still water when upstream and downstream speed is given=1/2(D+U)

Lets understand in detail:

Upstream: When the boat moves against the current of the river (i.e. in opposite direction), then the relative speed of the boat is the difference of the speed of the boat and stream. It is known as upstream speed.

Remember it with UP as going up the hill means against the direction of the force (speed) of the river.

If speed of boat or swimmer is x km/h and the speed of stream is y km/h then,

Speed of boat upstream = (x − y) km/h

Downstream: When the boat moves with the current of the river (i.e. in same direction), then the relative speed of the boat is the sum of the speed of the boat and stream. It is known as downstream speed.

emember it with DOWN as going down the hill means towards the direction of the force (speed) of the river.

If speed of boat or swimmer is x km/h and the speed of stream is y km/h then,

Speed of boat downstream = (x + y) km/h

Important Points

When speed of boat is given then it means speed in the still water, unless it is stated otherwise.

Some Basic Formulas

Speed of boat in still water is
= ½ (Downstream Speed + Upstream Speed)

Speed of stream is
= ½ (Downstream Speed – Upstream Speed)

For solved problems on above formulas please visit below sections: