# Shortcuts to solve Problems on Boats and Sreams

**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.

**Learn the formulas and shortcuts of Time, Speed and Distance**

**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,**

** **

**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,**

**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:**

**SPEED OF BOAT IN STILL WATER AND SPEED OF STREAM**

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

**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:**

**Also learn the shortcuts to solve Problem on Trains**

**SOME SHORTCUT METHODS**

**• ** 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:

**• ** 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:

**• **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:

**• ** 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:

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