### Tricks To Solve Time and Distance Problems Quickly[Shortcuts/Formula]:

Hi viewers this article provides Shortcut Tricks to solve time and distance problems quickly.Now a days Quantitative aptitude problems on time and distance are sure questions in all competitive exams.We have very limited time to solve all aptitude questions.Problems on Time and Distance looks often lengthy and aspirants often skip these, thinking that these questions will consume most amount of time.There are many ways to solve Time and Distance problems.The best way to solve problems on Time and Distance is using Shortcut Tricks.

Time and Distance problems are easy to score area if you know very basic formula regarding Time and Distance.All shortcuts to solve time and distance problems can be easily derived and learnt.The important trick in solving problems is managing time.By practicing the Time and Distance problems continuously aspirants can able to manage the time perfectly.

#### Basic Concepts of Time and Distance:

Simply don’t by heart Shortcuts and Tricks.You should actually take time and learn some basic concepts regarding Time and Distance problems.You have to learns relations between Time and Distance, how one arrives at these shortcuts, try it out yourself, then solve as many problems you can.With this you will get an idea on where to use these shortcuts when you solve questions later on.Most of the questions on Time and Distance can be solved if you know the basic correlation between speed, time and distance.

**Ratio of the varying components when other is constant:** Consider 2 objects *A* and *B *having speed Sa, Sb. Let the distance travelled by them are Da and Db respectively and time taken to cover these distances be Ta and Tb respectively.

Let’s see the relation between time, distance and speed when one of them is kept constan

**When distance is constant**speed is inversely proportional to the time taken i.e if speed increases then time taken to cover the distance decreases.

i.e; If Da=Db, then SaSb=TbTa.**When speed is constant**distance covered by the object is directly proportional to the time taken.

i.e; If Sa=Sb, then DaDb=TaTb.**When time is constant**speed is directly proportional to the distance travelled.

i.e; If Ta=Tb, then SaSb=DaDb.

We all know that when distance travelled is constant, speed of the object is inversely proportional to time taken.

- If the speeds given are in AP then the corresponding time taken is in HP.
- If the speeds given are in Harmonic progression or HP then the corresponding time taken will be in Arithmetic progression or AP.

## Relative Speed

- If two objects are moving in same direction with speeds
*a*and*b*then their relative speed is|a-b| - If two objects are moving is opposite direction with speeds
*a*and*b*then their relative speed is (a+b)

## Average Speed

Average speed is always equal to total distance travelled to total time taken to travel that distance.

**Time Constant**

If time taken to travel each part of the journey, ie t1=t2=t3=…tn=t, then**average speed of the object is Arithmetic Mean of speeds**

Let distance of parts of the journey be d1,d2,d3,…dn and let them be covered with speeds1,s2,s3,…sn respectively.

Then d1=s1t, d2=s2t, d3=s3t, … dn=snt

Average Speed=s1t+s2t+…+sntt+t+…+ntimesAverage Speed=s1+s2+s3+…+snn**Distance Constant**

If distance travelled for each part of the journey, ie d1=d2=d3=…=dn=d, then**average speed of the object is Harmonic Mean of speeds**.

Let each distance be covered with speeds s1,s2,…sn in t1,t2,…tn times respectively.

Then t1=ds1, t2=ds2, … tn=dsn

Average Speed=d+d+d+…ntimes(ds1)+(ds2)+(ds3)+…(dsn)Average Speed=n(1s1)+(1s2)+…+(1sn)

Time and Distance Problems Shortcut Tricks and Formula :

**Unit conversion:**While answering multiple choice time and dinstance problems in quantitative aptitude test, double check the units of values given. It could be in m/s or km/h. You can use the following formula to convert from one unit to other

- x km/hr = x518 m/s
- x m/s = x185 km/hr

Formula:

Speed = Distance/Time

Time = Distance/Speed

Distance = Time * Speed.

Thanks For Reading Practice Lot Of Questions with shortcuts Here.