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 Time and Distance

The relation among distance, time and speed is

                              Distance   =   Speed x Time.


                                     
       If a car covers 50 kilometres in each hour then the speed of the car is 50Kmph.

       If a man travels 10 metres in one second’s time the the speed of the man is 10 mps.
Convertion of speeds:         KMPH to MPS
                   

 MPS to KMPH
                                 
     When a certain distance is traveled with a speed of x kmph and another equal distance is traveled at y kmph, then the average speed = 

TRAINS

         If a train has to cross a pole or a man or any particular point  then it has to cover a distance equal to its own length.

         If a train has to cross a platform or bridge or tunnel etc. then it has to cover a length equal to its length + platform/bridge/tunnel length.

Relative speed

        When two speeds are in opposite direction,

         Relative speed = sum of the speeds.

        When two speeds are in the same direction,

        Relative speed = difference of the speeds.

 

BOATS AND STREAMS

Still water: water without motion. A boat can travel or a man can swim in that water with their original speeds.

Stream / current : water flow with some speed.

Down stream: along with the flow.

Upstream: against the water flow

        If the speed of the boat in still water is b kmph and speed of the current is c kmph respectively, then 

                            Downrate ( x )  =   b + c 

                            Uprate ( y )       =  b – c
                            

 Average speed

      If a moving object travels from A to B at the speed of x km/hr, and from B to A at the speed of y km/hr, then


             
Example 1:  A train 100 metre long is running at the speed of 21 km/hr and another train 150 meter long is running at the speed of 36 km/hr in the same direction. How long will the faster train take to pass the first train?

Solution:  Sum of the length of both the train =  x1 + x2 = 100 + 150        = 250 m
                                 Difference of their speeds =  y1 - y2   =  21 - 36

                                                                              
        = 15 km/hr

 Question with office concern


Example 1:  A person walking at x km/hr reaches his office t1 minutes late. If he walks at y km/hr, he reaches there t2 minutes earlier, then
            

 

 Example 5:  A man covers a distance of 160 km at 64 km/hr and next 160 km at 80 km/hr. what is his average speed for his whole journey of 320 km?


         

 

Example 5:  A man covers a distance of 160 km at 64 km/hr and next 160 km at 80 km/hr. what is his average speed for his whole journey of 320 km?

 

 Example 6: What will be the length of the train P when it is running at 60 km/hr and crosses another train Q running in opposite direction, in 18 seconds? In order to answer this question which of the statements (a) and (b) is/are sufficient?

              (a) Length of the train Q is 80 meter

              (b)  Speed of the train Q is 90 km/hr

Solution: Both statements (a) and (b) together are necessary

                  '.'  The trains are running in opposite directions

 

Example 7:  A boat takes 3 hours to go from P to Q downstream and from Q to P up stream. What is the speed of the boat in still water? to know the answer of this  question, the knowledge of which of the statements (a) and (b) is/are sufficient?

The distance between P and Q is 6 km.

The speed of the river is 2 km/hr.

Solution: Both statements (a) and (b) together are necessary to the question.

                  Let the speed of the boat in still water be x km/hr.

            .'.   Speed of the boat down stream = (x + 2) km/hr

       And            Speed of the boat upstream =  (x -2) km/hr

 Now x can be calculated.

Posted Date : 18-09-2021

గమనిక : ప్రతిభ.ఈనాడు.నెట్లో వచ్చే ప్రకటనలు అనేక దేశాల నుండి, వ్యాపారస్తులు లేదా వ్యక్తుల నుండి వివిధ పద్ధతులలో సేకరించబడతాయి. ఆయా ప్రకటనకర్తల ఉత్పత్తులు లేదా సేవల గురించి ఈనాడు యాజమాన్యానికీ, ఉద్యోగస్తులకూ ఎటువంటి అవగాహనా ఉండదు. కొన్ని ప్రకటనలు పాఠకుల అభిరుచిననుసరించి కృత్రిమ మేధస్సు సాంకేతికతతో పంపబడతాయి. ఏ ప్రకటనని అయినా పాఠకులు తగినంత జాగ్రత్త వహించి, ఉత్పత్తులు లేదా సేవల గురించి తగిన విచారణ చేసి, తగిన జాగ్రత్తలు తీసుకొని కొనుగోలు చేయాలి. ఉత్పత్తులు / సేవలపై ఈనాడు యాజమాన్యానికి ఎటువంటి నియంత్రణ ఉండదు. కనుక ఉత్పత్తులు లేదా సేవల నాణ్యత లేదా లోపాల విషయంలో ఈనాడు యాజమాన్యం ఎటువంటి బాధ్యత వహించదు. ఈ విషయంలో ఎటువంటి ఉత్తర ప్రత్యుత్తరాలకీ తావు లేదు. ఫిర్యాదులు తీసుకోబడవు.

 

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