Aptitude (http://mrunal.org/category/aptitude) / 3 years Ago /16 Comments (http://mrunal.org/2012/05/aptitude-tsd-average-speed-made-easy.html#comments)

If youve mastered the STD table method for Time n Work my previous articles,(http://mrunal.org/aptitude) then Average speed is a piece of cake.Absolutely No need to mugup any formula for average speed.

1. Case 1: Distance covered in two phasesApproach #1: Good ol STD TableStep1: Fill up all cells of STD TableStep2: AdditionApproach #2: Alligiation method

2. Case 2: Distance covered in three phasesStep1: Fill up all cells of STD tableStep2: AdditionAlligiation for three phase?

Case 1: Distance covered in two phases

Champaklal covers 20 kms at the speed of 15kmph andother 10kms at the speed of 6kmph. What is his averagespeed throughout this journey?

Approach #1: Good ol STD Table

[Aptitude] TSD: Average Speed made easy without Formulas (Our Goodol STD-Table Method!)

English: SP Bakshi(http://www.flipkart.com/objective-general-

english-2012/p/itmdyuqqgafhtehp?pid=9788183480000&affid=mrunalrugm)

Mrunal (http://mrunal.org/)

Step1: Fill up the Table

Phase 1 Phase 2

Speed 15 6

Time ?? ??

Distance 20 10

We dont know how much time he took for each phase but we can find it using STD formulaSpeed x time = distance15 x time = 20Time for phase1=20/15=4/3

Similarly find the time taken for phase 2 and update the table

Phase 1 Phase 2

Speed 15 6

Time 4/3 5/3

Distance 20 10

Important note about STD table:

While solving Time n Work problems, you can only do addition or subtraction in Speed anddistance cells only.But for solving average speed you can do only do addition or subtraction in Time andDistance cells only.

Step2: Addition in last column

Now make a new column and do the addition of phase 1 and 2.

Phase 1 Phase 2 Total=Phase1+2

Speed 15 6 ??

Time 4/3 5/3 4/3+5/3=9/3=3

Distance 20 10 20+10=30

Run STD formula for last columnSpeed x time = distanceSpeed x 3 = 30Speed =30 / 3Speed =10kmphFinal answer: Champaks Average speed = 10kmph

Approach #2: Alligiation method

Average speed is nothing but a weightage average and since journey was finished in twophases, we can run the alligiation method.IF you dont know the Alligiation (Wine+Water) method, Click ME (http://mrunal-exam.blogspot.com/2012/03/aptitude-alligationsmixturesalloys.html)Step1 is same here. Fill up all the cells in STD table just like we did in above method.

Phase 1 Phase 2

Speed 15 6

Time 4/3 5/3

Distance 20 10

Now run the alligiation method (Wine and Water Mixture) using speed as concentration andTime as volume

Speed(concentration) 6

Average speed m(between 6 to 15) 15

Time(Volume) 5/3 4/3

Run the visual move

(http://img860.imageshack.us/i/tsdalligiation.png/)

Answer: average speed =10kmph

Case 2: Distance covered in three phases

Jethalal travels for 30 minutes @50kmphFor the other 20 minutes, he travels @speed of 30kmphFor the 60 minutes, at the speed of 60kmph.Find his average speed for this journey.

For STD table to work, Everything must be in same unit, you can see here time is given inminutes but speed is given in kmph. Better convert time into hour.30 minutes = hour20 minutes=20/60=1/3 hour60 minutes= obviously 1 hour!Now we are in business.

Step1: Fill up all cells of STD table

Phase 1 Phase 2 Phase 3

Speed (kmph) 50 30 60

Time (hr) 1/3 1

Distance

Run STD formula on phase1Speed x time = distance50 x =distanceDistance=25 kmSame procedure for phase 2 and 3.Update the table.

Phase 1 Phase 2 Phase 3

Speed (kmph) 50 30 60

Time (hr) 1/3 1

Distance 25 10 60

Step2: Addition in last column

Make a new column for total of Phase 1+2+3Remember we can only add distance and time but not speed.

Phase 1 Phase 2 Phase 3 Total

Speed (kmph) 50 30 60 ??

Time (hr) 1/3 1 +1/3+1=11/6

Distance 25 10 60 25+10+60=95

Run STD fomula on last columnSpeed x time = distanceSpeed x 11/6=95Speed =956/11=51.81kmphFinal answer: Jethalals average speed is 51.81kmph

Alligiation for three phase?

We can also run alligiation method on three phase journey too but itll be too lengthycalculation- anyways here is the direction:First run alligiation on phase 1 and 2. You get an avg speed(a)Now run alligiation on avg speed(a) and Phase 3 and you get final average speed.

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So far 16 Comments posted

R E P L Y ( / 2 0 1 2 / 0 5 / A P T I T U D E - T S D - A V E R A G E - S P E E D - M A D E - E A S Y . H T M L ?R E P L Y T O C O M = 2 8 4 1 # R E S P O N D )

vijayManikantaAnswer for case 2 isFinal answer: Jethalals average speed is 51.818kmph

R E P L Y ( / 2 0 1 2 / 0 5 / A P T I T U D E - T S D - A V E R A G E - S P E E D - M A D E - E A S Y . H T M L ?R E P L Y T O C O M = 5 0 7 6 9 # R E S P O N D )

Vedawesome & really student friendly !!

R E P L Y ( / 2 0 1 2 / 0 5 / A P T I T U D E - T S D - A V E R A G E - S P E E D - M A D E - E A S Y . H T M L ?R E P L Y T O C O M = 6 8 8 5 5 # R E S P O N D )

paresh goyalpublish your book.

R E P L Y ( / 2 0 1 2 / 0 5 / A P T I T U D E - T S D - A V E R A G E - S P E E D - M A D E - E A S Y . H T M L ?R E P L Y T O C O M = 8 0 9 2 5 # R E S P O N D )

akhilesh singhsuperb talent I salute u for ur prblm solving approach thanks

R E P L Y ( / 2 0 1 2 / 0 5 / A P T I T U D E - T S D - A V E R A G E - S P E E D - M A D E - E A S Y . H T M L ?R E P L Y T O C O M = 8 2 7 1 5 # R E S P O N D )

Juhivery helpful!! thank you sir!!

R E P L Y ( / 2 0 1 2 / 0 5 / A P T I T U D E - T S D - A V E R A G E - S P E E D - M A D E - E A S Y . H T M L ?R E P L Y T O C O M = 8 4 7 1 1 # R E S P O N D )

SharadSir your methods are really students friendly.Great work

R E P L Y ( / 2 0 1 2 / 0 5 / A P T I T U D E - T S D - A V E R A G E - S P E E D - M A D E - E A S Y . H T M L ?R E P L Y T O C O M = 8 5 2 1 8 # R E S P O N D )

Sumarat Lal Meenasiryour method and material is very useful for every person who ispreparing for competition as well as meplease inform me such as useful materials

R E P L Y ( / 2 0 1 2 / 0 5 / A P T I T U D E - T S D - A V E R A G E - S P E E D - M A D E - E A S Y . H T M L ?R E P L Y T O C O M = 8 8 4 2 8 # R E S P O N D )

arun kumaryou r donig good job sir..thanks

R E P L Y ( / 2 0 1 2 / 0 5 / A P T I T U D E - T S D - A V E R A G E - S P E E D - M A D E - E A S Y . H T M L ?R E P L Y T O C O M = 9 3 5 4 8 # R E S P O N D )

trushalthats graet work keep it up for us

R E P L Y ( / 2 0 1 2 / 0 5 / A P T I T U D E - T S D - A V E R A G E - S P E E D - M A D E - E A S Y . H T M L ?R E P L Y T O C O M = 1 3 6 1 6 2 # R E S P O N D )

rita

Sir, is 3 months time sufficient for maths, reasoning and GK preparationif my english is already strong?

R E P L Y ( / 2 0 1 2 / 0 5 / A P T I T U D E - T S D - A V E R A G E - S P E E D - M A D E - E A S Y . H T M L ?R E P L Y T O C O M = 1 5 1 3 5 3 # R E S P O N D )

amit deswalWhat is the difference between this and the normal method just thatits done in a table. I had to do all the calculations I otherwise wouldhave.

R E P L Y ( / 2 0 1 2 / 0 5 / A P T I T U D E - T S D - A V E R A G E - S P E E D - M A D E - E A S Y . H T M L ?R E P L Y T O C O M = 1 5 7 0 2 1 # R E S P O N D )

KaizerSir,Please can you upload the previous articles, especially the ones whichexplain the basics for STD & others.

R E P L Y ( / 2 0 1 2 / 0 5 / A P T I T U D E - T S D - A V E R A G E - S P E E D - M A D E - E A S Y . H T M L ?R E P L Y T O C O M = 1 5 7 1 4 5 # R E S P O N D )

aditiHow to solve this using STD method?3 pumps, working 8 hours a day, can empty a tank in 2 days. How manyhours a day must 4 pumps work to empty the tank in 1 day?

R E P L Y ( / 2 0 1 2 / 0 5 / A P T I T U D E - T S D - A V E R A G E - S P E E D - M A D E - E A S Y . H T M L ?R E P L Y T O C O M = 2 0 8 3 5 9 # R E S P O N D )

venkatesan aHow to solve if the total ( time /distance) are given for both speed ?

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R E P L Y ( / 2 0 1 2 / 0 5 / A P T I T U D E - T S D - A V E R A G E - S P E E D - M A D E - E A S Y . H T M L ?R E P L Y T O C O M = 2 7 2 7 9 6 # R E S P O N D )

maryEvery 15 minutes a train leaves a station and travels at a speed of36kmph.Agoods train which is coming in the opposite direction crossesthese trains in the intervals of 12 minutes .what is th speed of the goodstrain?How to solve these kind of problems?

R E P L Y ( / 2 0 1 2 / 0 5 / A P T I T U D E - T S D - A V E R A G E - S P E E D - M A D E - E A S Y . H T M L ?R E P L Y T O C O M = 2 7 2 8 1 1 # R E S P O N D )

ajay45km/hr is that right answer

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may be available at Mrunal.org/contact (http://mrunal.org/contact).

(http://www.alexa.com/data/details/main?url=http://mrunal.org)

1. Online Form Part-I stops few days before deadline, so don't wait till last date. Dont forget

reg.id & roll no.Note'em in Google Drive (https://www.google.com/drive/)

2. I usually update vacancies every Monday.Purple link= newly added,Blue= existing.Last

updated Mon. Jun 22, at 9:04PM

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