10/12/2015 Bankers Adda: Banking Pathway 2015: Quant Short tricks (Time & Work)
http://www.bankersadda.com/2015/07/bankingpathway2015quantshorttricks.html 1/5
FRIDAY, 3 JULY 2015
Banking Pathway 2015: Quant Short tricks(Time & Work)Dear Reader,
Time and Work is a very easy topic and at least 2 Questions are asked fromthis topic in Any Exam whether it's Clerk or PO or SSC.What actually theTime and Work Topic is all about? In simple words It's how much time aperson will take to Complete a Given Work.Here we are providing some cases of time and work and efficient method tosolve it. Hope this would be helpful to all aspirants.
These Tricks are shared by one of the our ardent BA readerInsomniac.We wish you good luck for your future.
Note : In conventional Method work is always treated as 1Example: So if I say that a person can complete a work in 15 days thatmeans he will do 1/15 work in one day, It's simple maths.Now another person does the same work in 30 days. So he will do 1/30work in 1 day.Now if i ask in how many days they will complete the work together.What we gonna do is Add their 1 day of work like 1/15 + 1/30 = (2+1)/30 = 3/30 = 1/10 Now this 1/10 we got is actually their 1 day work, So if they do 1/10 workin one day then it's simple they will complete the whole work in 10 days.Now that was the conventional method and I believe that you all know howto solve Questions through Conventional method.
So now lets move on to the Faster method i.e efficiency method.
In efficiency method the Work is not treated in numerical value, Like inConventional method the work is 1 but here the work is treated aspercentage.So by common sense the work is always treated as 100%So when i say a person completes a work in 15 days it means he will do100/15 % work in 1 day i.e 6.66% work in 1 dayIf another person does the work in 30 days that means he will do 3.33% workin 1 day.And together they will do 6.66 + 3.33 = 9.99 or 10% work in one day So inhow many days they will do the complete work, that will be 100/10 = 10days.Now it may sound difficult That we have to convert Each value in % but don'tworry you don't have to convert each value, You just have to learn all thevalues till 1/30 and then it will be a cakewalk.
Now we will take Some standard Cases Of time and work and you all arefree to ask any problem if you have in any case.
Case 1 A does a work in X days, B does a Work in Y days In how manydays they will complete the work.Question A completes the work in 10 days and B completes the work in15 days In how many days they will complete the work.Conventional Method Work done by A in 1 day = 1/10Work Done by B in 1 day = 1/15Work done By A & B together in 1 day = 1/10 + 1/15 = (3+2)/30 = 5/30 = 1/6As A & B Completes 1/6 work in one day So they will complete the wholework in 6 Days.
Efficiency method.Efficiency of A =100/10 = 10% Efficiency of B = 100/15 = 6.66%Efficiency of A & B Together = 10+ 6.66 = 16.66%So the time taken by A & B together to Complete the work will be 100/16.66= 6 Days.
Case 2 A can do a work in X days and B can do it Y days, In how manydays the work is completed if they work alternatively Started by A.
Now in these type of question the person are not actually working together,what happens in this type of question is that A works for 1 day and then on2nd day B work and on 3rd again A work and on Fourth again B works and soon till the work is completed.For example A can do a work in 10 days B can do it 15 days and how many
EXAM SPECIFIC QUIZES
1) Mission IBPS 20152)Banking Pathway20153) Night Classes
Easy
Moderate
Difficult
Vote Show results
Votes so far: 34567 Days left to vote: 363
IBPS PO V (PRE): HOWWAS THE EXAM?
Less than 40
Between 4045
Between 4650
Between 5155
Between 5660
Between 6165
Between 6670
More than 70
Vote Show results
Votes so far: 48639 Days left to vote: 363
IBPS PO V (PRE): HOWMANY QUESTIONS DIDYOU ATTEMPT?
Less than 130Between 130140Between 141150Between 151160Between 160170More than 170
Vote Show results
Votes so far: 47609
HOW MANY QUESTIONSDID YOU ATTEMPT INRRB ASSISTANT?
Below 100
100115
116125
126135
136145
Above 145
Votes so far: 46339 Poll closed
3409 (7%) 7307 (15%) 8404 (18%) 10001 (21%) 8246 (17%) 8972 (19%)
HOW MUCH YOUATTEMPTED IN IBPS RRBSCALE 1 OFICER
BANKERS ADDA OLD
LOGO
Search
SEARCH YOUR TOPIC HERE
Download IBPS PO (Pre) Mock
All India Seminar On How ToCrack IBPS Interviews
IBPS PO (Mains) RefresherCourse
IBPS PO MAINS 2015
Join IBPS PO 2015 (Tier I & II)Coaching at Career Power Jaunpur, Bhiwani, MoulaliKolkata, Hooghly,Jhunjhunu(Rajsthan), Chandausi (UP),Mathura, Hyderabad, Sikar(Rajsthan), Allahabad,Durgapur, Faizabad,Gorakhpur, Ludhiana, Roorkee,Moradabad, Ajmer, Bhilai, Ara(Bihar), Sri Ganga Nagar,Hanuman Garh, Guwahati,Ambala, Ahmedabad, GandhiNagar, Bhopal, Indore,Chhatarpur (M.P.), Muzaffarpur,Rohtak, Bikaner, Sonipat,Jaipur, Alwar, Udaipur, Ranchi,Rewa, Jodhpur, Varanasi,Patna, Meerut, Bhatinda,Brahampur, Guna, Agra,Jhansi, Bareilly, Aligarh,Gwalior, Delhi, Noida 1222,Noida Atta, Ghaziabad,Lucknow, Kanpur
SEMINAR
IBPS CLERK PRELIMS 2015
SUPER 50 BATCHES AT CAREERPOWER
Home Exams Articles Quiz Study Notes Daily Gk Updates Notification Capsules Interview
10/12/2015 Bankers Adda: Banking Pathway 2015: Quant Short tricks (Time & Work)
http://www.bankersadda.com/2015/07/bankingpathway2015quantshorttricks.html 2/5
For example A can do a work in 10 days B can do it 15 days and how manydays they will finish it if The work is started by ASo again work done by A in one day = 1/10 '' '' '' '' '' B '' '' = 1/15Now the work done by Togther will be = 1/10 + 1/15 = 1/6 [ Note now this1/6 work is not done by them in 1 day but in 2 days Actually, See A workedfor 1 day and did 1/10 work on the second day B worked and finished the1/15 work So in total 2 days they did 1/6 work]So in 2 days they did 1/6 work so in how many days they will complete thewhole work, Simple 12 days.Efficienecy MethodA's Efficiency = 10%B's Efficiency = 6.66%A + B Efficiency = 16.66%Work done by A and B in 2 days [ remember 2 days because they are notworking together but working alternatively] = 16.66%So time taken by them to complete 100% work = 100/(16.66 = 6 [ but alwaysremember multiply this by 2, Beacause 16.66% work is done by them in 2days and not in 1 day.So The answer will be 6*2 = 12 days.
Case 3: A can do a work in X days, B can do the work Y days and Aleaves after working Z days.Question A can do a work in 10 days and B can do it in 15 days, Aworks for 2 days and then leaves, In how many days will the work becompleted?Now here we can se that A leaves after 2 days that means A and B onlyworked for 2 days and the remaining work is done by B alone.So first we have to calculated the work done by A and B together in 2 days.So work done be A in 1 day = 1/10"" " " " B " " " = 1/15Work done by A & B together is 1 day = 1/10 + 1/15 = 1/6Work done by A & B together in 2 days = (1/6) * 2 = 1/3So remaining work = 1 1/3 = 2/3Now this 2/3 work has to be done by B alone.So it takes 15 days for B to do Complete work, How much time it will betaken by B to do 2/3 work ? So it will be 15*(2/3) = 10 daysSo the work will be completed in 2 + 10 days = 12 days
Efficiency method A's efficiency = 10% B's Efficiency = 6.66%Total a+b = 16.66%work done by A and B together in 2 days = 16.66*2 = 33.33%Work remaining = 66.66%time taken by B to complete 66.66% work = 66.66/6.666 = 10 daysTotal time = 10+2 = 12 days
Case 4A can do a piece of Work in 10 days and B can do it in 15 days, In howmany days will the work be completed if B leaves 2 days before thecompletion on work.Now in this question B leaves before 2 daysTogether they can do the work in what = 1/10 + 1/15 = 1/6That means 6 Days.That means Together they could have completed the work in 6 days but Bworks only till 4th day and The remaining work will be done by A aloneSo they worked together for 4 days in all So work done by them in 4 days =(1/6)*4 = 4/6 = 2/3remaining work = 1/3 Now this 1/3 work will be done by A alone Now A can do the complete work in 10 days, So the time taken by him to do1/3 work = 10 * (1/3) = 10/3 days or 3.33 daysSo total time taken = 4+ 3.33 days = 7.33 daysEfficiency methodA's efficiency = 10%B's efficiency = 6.66%Total = 16.66%Work will be completed in 6 daysWork done in 4 days = 66.66%remaining = 33.33%A will complete the remaining in = 33.33/10 = 3.33 Total = 4+3.33 = 7.33
Case 5: A can do a Work in X days B can Do it in Y days, In how manydays The work will get completed if B leaves 2 days before the actualcompletion of work.
Question: A can do a work in 10 days B can do it in 15 days, In howmany days The work will get completed if B leaves 2 days before the
Actual Completion of Work.what is the difference between this Actualcompletion of work and Completion of Work?See in last example the work was supposed to get completed in 6 days, Sowe just Solved the question taking into consideration that B leaves 2 daysbefore the completion of work i.e B worked for 4 days and the rest 2 days
Bankers Adda in Hindi
SSC Adda in English
SSC Adda in Hindi
Achievers Adda
OUR ASSOCIATES
110130
131150
151165
Over 165
Votes so far: 23420 Poll closed
3722 (15%) 5299 (22%) 6126 (26%) 8273 (35%)
HOW MUCH YOUATTEMPT IN RBIASSISTANT EXAM?
80100
101120
121140
141above
Votes so far: 21743 Poll closed
4923 (22%) 7943 (36%) 5043 (23%) 3834 (17%)
HOW MUCH YOUATTEMPT IN SBI POMAINS 2015?
Less than 35
Between 3640
Between 4145
Between 4650
Between 5155
Between 5660
Between 6165
Between 6670
More than 70
Vote Show results
Votes so far: 69974 Days left to vote: 259
HOW MUCH DID YOUATTEMPT IN SBI PO 2015(PRE)?
IBPS Clerk Notification
IBPS CLERK 2015
HOW TO FILLPREFERENCES INIBPS PO 5?
Notification FAQs
REGISTRATIONSTARTS
IBPS PO 2015Notification
IBPS PO 2015 PREDETAILS
IBPS PO 2015
GK CAPSULE 2015
SBI PO MAINS DATE
SBI PO PRERESULTS
Business Letter Format
How to write anessay?
SBI PO 201516
Own a Career Power Centre inYour City : Career PowerFranchisee Program
SSC CGL MAINS ONLINE TESTSERIES
Felicitation Function for thesuccessful Career Powerstudents in IBPS PO IV andIBPS Clerk IV
MEGA WALKIN INTERVIEWS ATCAREER POWER (9 JUNE 2015)
If you have any feedback or wantto share anythng with us, pls mailus at [email protected]
IBPS 2015 Calender: Changesin Pattern of IBPS Exams
IBPS INTERVIEW COACHING ATCAREER POWER
LATEST FROM BA ASSOCIATES
SSC AddaEnglish Quiz Based OnPrevious Year For SSC Exam2015
Achievers AddaStories Adda
IBPS RRB Interview Batches atCareer Power
IT OFFICER COURSE BY CAREERPOWER
10/12/2015 Bankers Adda: Banking Pathway 2015: Quant Short tricks (Time & Work)
http://www.bankersadda.com/2015/07/bankingpathway2015quantshorttricks.html 3/5
Newer Post Older PostHome
Labels: Daily Updates, Maths Shortcuts, Quant, quant notes, STUDY NOTES
before the completion of work i.e B worked for 4 days and the rest 2 dayswork was don by A alone and Completes that work in 3.33 days Total 7.33days.So if i ask In this question If B left 2 days before the actual completion then itmeans B should have left on 5.33 days Got it ?Now back to the question.Now just imagine that the work gets completed in x days.So A would work for x days[ A works for the whole time ]And B would work for x2 days[ because B left 2 days before the actualcompletion of work]So now According to Questionx/10 + (x2)/15 = 1 [ Beacuse work is always one ](3x+2x4)/30 = 15x 4 = 305x = 34x = 6.8 days.So the work will be completed in 6.8 Days.It can also be asked That after how many days B left, So the answer wouldbe Simple 6.8 2 = 4.8 days
Efficiency MethodA's Efficiency = 10%B's Efficiency = 6.66%Let the no. of days be x so Accordring to question10x + 6.66(x2) = 100[ Work is always 100% in efficiency method ]10x + 6.66x 13.33 = 10016.66x = 113.33x = 113.33/16.66 = 6.8 Answer = 6.8 days
Thank you Insomniac :)
374,205 people like this.Like
essay?
Detailed View of SBIPO 2015 ExpectedPattern
Are you that 1 in1100? My chances ofbeing an SBI PO
SBI PO 2015 2016 Recruitment Analysisin Detail
FAQs SBI PO 2015
Notification
REGISTRATIONOPEN
FAQs
IBPS RRB 2015Notification
IBPS RRB 2015
Salary Structure ofBank PO & Clerk
IBPS SelectedCandidates: Knowyour colleaguesjoining the same bankas you
Allotted a Bank inIBPS. What next?
Waiting List (ReserveList) for IBPS PO IIIand IBPS Clerk III
IBPS PO III: FinalResult Out
IBPS Clerk III: FinalResult
IBPS Clerk II: FourthRound of Allocations
IBPS PO II FourthRound of Allocations
IMPORTANT POSTS ONIBPS RESULTS
ANALYSIS OF PAPERHELD ON 28TH JUNE
ANALYSIS OF PAPERHELD ON 27TH JUNE
ANALYSIS OF PAPERHELD ON 21ST JUNE
ANALYSIS OF PAPERHELD ON 20TH JUNE
SBI PO PRE EXAMANALYSIS
NOTIFICATION
RBI ASSISTANT EXAM2015
Special GK Updates(July 2015)
Special GK Updates(June 2015)
GK POWER CAPSULE2015
Special GK Updates(May 2015)
Special GK Updates(April 2015)
Special GK Updates(March 2015)
Special GK Updates(February 2015)
Special GK Updates(January 2015)
Special GK Updates(December 2015)
Special GK Updates(November 2014)
Special GK Updates(October 2014)
Special GK Updates(September 2014)
Special GK Updates(August 2014)
Special GK Updates
GK UPDATES CAPSULES
Bankers Adda Rules andRegulations
Yes
No
Doesn't Matter
Votes so far: 46375 Poll closed
31839 (68%) 11914 (25%) 2622 (5%)
SHOULD SSC EXAM BE ONLINE?
BA Reader is MahaCrorepati
Get GK Updates in your Email:
Enter your email address:
Subscribe
BA MOBILE APP
IBPS PO 2015
IBPS RRB 2015
LIC ADO 2015
RBI ASSISTANT 2015
SBI PO 2015 16 RecruitmentOut
Lakshmi Vilas BankRecruitment 2015
IBPS Specialist Officer IV
SBI Associate Clerk 2014
Syndicate Bank
SBI Associates Bank PO
IBPS Clerk
IBPS PO 2014
RBI Assistants
ALL RECRUITMENTNOTIFICATIONS
SSC Adda: All about SSCExams and More(A unit of bankersadda)
IBPS PO Online Test SeriesIBPS Clerk Online Test SeriesSSC CGL 2014 Online Test
COURSES BY CAREER POWER(HUGE DISCOUNT)