Published on March 5, 2014
CHAPTER OVERVIEW This chapter provides an overview of concepts of time, speed and distance. These concepts are essential for solving aptitude questions. Its variations are seen in several formats such as boats, trains, streams, etc. SPEED s x TIME t = DISTANCE d
s d t Speed is rate at which distance is covered per unit time during the motion. Its units are km/hr, m/s, cm/s, etc. Speed s Time is the time duration over which the motion has occurred. Its units can be ‘s’ or seconds, min, hr, day, week, etc. Time d t Distance is the overall displacement of the body during the motion. Its units are in cm, m, km, etc. Distance
Properties s 1. If speed is constant, distance is proportional to time d t If speed is same (say 2 km/hr), more distance is travelled if time is more i.e 2 km in 1 hr , 4 km in 2 hrs and so on.... 2. If time is constant, speed is proportional to distance If time is same (say 2 hrs), more distance is travelled if speed is more i.e 2 km by 2 km/hr, 4 km by 4 km/hr and so on.... 2. If distance is constant, speed is inversely proportional to time If distance is same (say 2 km), more speed taken would take less time , i.e 1 hr by 2km/hr , 2hrs by 1 km/hr and so on.....
Properties 4. To convert km/hr to m/s multiply by 5/18 To convert m/s to km/hr multiply by 18/5 5. If same distance is covered for different journeys with two different speeds i.e S1 for A to B and S2 for B to A then average speed is given by :
Relative Speed is speed of one moving body relative to another moving body. For same direction their speeds are subtracted while for opposite direction they add up. Acceleration is simply rate of change of speed i.e. change of speed per unit time. A decrease in speed is know as deceleration (negative acceleration). Acceleration For same direction For opposite direction
Application on Trains Train crossing an object without length (a pole) Train crossing an object withlength (a platform) Train crossing a moving object without length (a pole) Sr is relative speed Train crossing a moving object with length (a platform) same direction Opposite direction
Application on boats 1. If speed of boat in still water is S1 km/hr and speed of stream is S2 km/hr then the speed of boat in the stream is given as relative speed of the two. Speed downsteam means speeds add up. As in downstream movement, stream provides push to the boat and increases its speed. Speed upstream means speeds are subtracted. As in upstream movement, stream provides resistance to the boat and decreases its speed. 2. If speed of boat downstream is x km/hr and speed upstream is y km/hr (x>y) then the speed of boat in still water and speed of stream are : speed of boat in still water speed of stream
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