Formulas For Speed Time And Distance

February 7, 2023

Introduction and Concept of Speed, Time, and Distance

Speed, Distance and Time is one of the most popular and significant topics in any competitive exam’s Quantitative portion. The concepts of speed, time, and distance are frequently utilized in issues about motion in a straight line, circular motion, boats and streams, races, and clocks, among other things. Therefore, we will discuss about Formulas for Speed, Time and Distance on this page.

Formulas of Speed, Time and Distance

Distance = Speed x Time

Speed =		Distance
		Time

Time =		Distance
		Speed

Formula for Conversion of Km/hr to m/sec where x is in Km/hr

1 km = 1000m

1 h = 3600 s

So 1km /h = $\frac{1000}{3600} \$

= $\frac{5}{18} \$

Y m/sec =		X x	5		m/sec
			18

Formula for Conversion of m/sec to Km/hr where x is in m/sec

1 m = $\frac{1}{1000} \$ km;

1 sec = $\frac{1}{3600} \$ hr

1m/sec = $\frac{3600}{1000}$

= $\frac{18}{5}$

=> Y km/hr = (X x $\frac{18}{5}$ ) km/hr

Equal Distance at two speeds

An object covers equal distance at speed S1 and other equal distance at speed S2 then his average speed for the distance is $\frac {2S1S2}{S1 + S2}$

Formulas of Train for Speed, Time and Distance-

ST = Speed of Train
SO = Speed of Object
LT = Length of Train
LO = Length of Object

Case 1 –

When Train Crosses a Stationary Object with no Length(e.g. Pole) in time t

ST = $\frac{L_T}{t} \$

Case 2 –

When Train Crosses a Stationary Object with Length LO (e.g. Train Platform) in time t

ST = (LT +LO) / t

Case 3 –

When Train Crosses a Moving Object with no Length (e.g. Car has negligible length) in time t

Objects moving in Opposite directions
- (ST + SO) = LT/ t
Objects moving in Same directions
- (ST – SO) = LT/ t

Case 4 –

When Train Crosses a Moving Object with Length LO (e.g. Another Train treated as an object) in time t

Objects(Trains) moving in Opposite directions
- (ST + SO) = (LT +LO)/ t
Objects(Trains) moving in Same directions
- (ST – SO) = (LT +LO)/ t

Note – In Case for Train 2 is treated as an object

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