# 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 + x= 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 tminutes late. If he walks at y km/hr, he reaches there tminutes 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 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 : 24-08-2020

<

గమనిక : ప్రతిభ.ఈనాడు.నెట్‌లో కనిపించే వ్యాపార ప్రకటనలు వివిధ దేశాల్లోని వ్యాపారులు, సంస్థల నుంచి వస్తాయి. మరి కొన్ని ప్రకటనలు పాఠకుల అభిరుచి మేరకు కృత్రిమ మేధస్సు సాంకేతికత సాయంతో ప్రదర్శితమవుతుంటాయి. ఆ ప్రకటనల్లోని ఉత్పత్తులను లేదా సేవలను పాఠకులు స్వయంగా విచారించుకొని, జాగ్రత్తగా పరిశీలించి కొనుక్కోవాలి లేదా వినియోగించుకోవాలి. వాటి నాణ్యత లేదా లోపాలతో ఈనాడు యాజమాన్యానికి ఎలాంటి సంబంధం లేదు. ఈ విషయంలో ఉత్తర ప్రత్యుత్తరాలకు, ఈ-మెయిల్స్ కి, ఇంకా ఇతర రూపాల్లో సమాచార మార్పిడికి తావు లేదు. ఫిర్యాదులు స్వీకరించడం కుదరదు. పాఠకులు గమనించి, సహకరించాలని మనవి.