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Important Formulae: Speed, Time & Distance CAT Notes | EduRev

Quantitative Aptitude (Quant)

Quant : Important Formulae: Speed, Time & Distance CAT Notes | EduRev

The document Important Formulae: Speed, Time & Distance CAT Notes | EduRev is a part of the Quant Course Quantitative Aptitude (Quant).

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Time Speed and Distance

Speed = Distance / Time
1 kmph = 5/18 m/sec; 1 m/sec = 18/5 kmph
Important Formulae: Speed, Time & Distance CAT Notes | EduRev
If the distance covered is constant then the average speed is Harmonic Mean of the values (s₁, s₂, s₃….s_n)

If the time taken is constant then the average speed is Arithmetic Mean of the values (s₁, s₂, s₃….s_n)

Important Formulae: Speed, Time & Distance CAT Notes | EduRev

EduRev's Tip: Given that the distance between two points is constant, then
⇒ If the speeds are in Arithmetic Progression, then the times taken are in Harmonic Progression
⇒ If the speeds are in Harmonic Progression, then the times taken are in Arithmetic Progression
For Trains, time taken = Important Formulae: Speed, Time & Distance CAT Notes | EduRev
For Boats,
Speed_Upstream = Speed_Boat – Speed_River
Speed_Downstream= Speed_Boat + Speed_Rive_r
Speed_Boat = (Speed_Downstream + Speed_Upstream) / 2
Speed_River = (Speed_Downstream – Speed_Upstream) / 2
For Escalators, The difference between escalator problems and boat problems is that escalator can go either up or down.

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