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Quantitative Aptitude :: Time and Distance Formulas

Time and Distance Questions and Answers

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A moving body is related to three basic condepts: Distance, time and speed     
1. Speed, Time and Distance:
    The speed of a moving body is the distance travelled by it in unit time. Hence
    Speed = (Distance/Time),  
    Distance = Speed x Time,  
    Time = (Distance/Speed)

2. Speed is actually in km/hr or m/s. The following conversions are very useful.
    Note : Speed 1 kmph = (5/18) m/sec.
(i)  km/hr to m/sec conversion:  
    a km/hr = [a x (5/18)] m/sec
(ii) m/sec to km/hr conversion:
    a m/s = [a x (18/5)] km/hr.

3.  If the ratio of the speeds of A and B is a : b, then the ratio of the
     the times taken by then to cover the same distance is 1/a : 1/b or b : a

4. Suppose a man covers a certain distance at a km/hr and an equal distance at b km/hr. Then,
    the average speed during the whole journey is [2ab/(a+b)] km/hr.

Notes :
* If two bodies travel with the same speed, Distance  ∝ Time (Direct Variation)
* If two bodies travel for the same period of time, Distance ∝ Speed (DirectVariation)
* If two bodies travel the same distance Time ∝ 1/speed (Inverse Variation)