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Shortcuts to solve Problems on Boats and Sreams

03-APR-2018 12:26

     

    Problems on Boats and Streams are quite common as questions from this topic come every year in various competitive exams like Banking, SSC, CSAT, etc. The basic concepts of Time, Speed and Distance are used in solving Problems on Boats and Streams. So, let us first go through some basic concepts of Boats and Streams.

    Problems on Boats and Streams

    Learn the formulas and shortcuts of Time, Speed and Distance

    DOWNSTREAM

    Downstream

    If the speed of boat in still water is  kmph and the speed of the stream is  kmph then, the speed at which boat will travel with the stream or,

     Downstream

    UPSTREAM

    Upstream

    If the speed of boat in still water is  kmph and the speed of the stream is  kmph then, the speed at which boat will travel against the stream or,

    Upstream

    Example: A man can row 8 kmph in still water and the river is running at 2 kmph. If the man takes 1 hour to row to a place and back, how far is the place?

    Solution:        

    Upstream Downstream

    SPEED OF BOAT IN STILL WATER AND SPEED OF STREAM

    Speed of boat and stream

    If the downstream speed is  kmph and upstream speed is  kmph then,

    Speed of boat and stream

    Example: A man can row upstream at 7 kmph and downstream at 10 kmph. Find man’s rate in still water and the rate of current.

    Solution:        

    Speed of boat and stream

    Also learn the shortcuts to solve Problem on Trains

    SOME SHORTCUT METHODS

    Boats formulas

    •    If a person rows certain distance downstream in t1 hours; returns the same distance upstream in t2 hours; and the speed of stream is y kmph, then the speed of man in still water is given by:

    Boats formulas

    •    If a person rows in still water at x kmph in a stream flowing at y kmph and if it takes him t hours to row to a place and come back, then the distance between two places is given by:

    Boats formulas

    •    If a person rows in still water at x kmph in a stream flowing at y kmph, if it takes t hours more in upstream than to go downstream for the same distance, then the distance is given by:

    Boats formulas

    •    A person can row in still water at x kmph. In a stream flowing at y kmph, if he rows the same distance up and down the stream, then his average speed is given by:

    Boats formulas

    If you found these shortcuts on ‘Problems on Boats and Streams’ useful then do visit www.jagranjosh.com for more such videos on Quantitative Aptitude.

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