Model 6 Efficiency of the worker Practice Questions Answers Test with Solutions & More Shortcuts
time & work PRACTICE TEST [7 - EXERCISES]
Model 1 Basics on Time & Work
Model 2 Formula method ‘M1D1W1 = M2D2W2’
Model 3 Man leaves & joins
Model 4 Working with Man, Woman, Child
Model 5 Split & Fraction of work
Model 6 Efficiency of the worker
Model 7 Working with individual wages
Question : 26 [SSC FCI Assistant Grade-III 2012]
A can do a piece of work in 70 days and B is 40% more efficient than A. The number of days taken by B to do the same work is
a) 45 days
b) 40 days
c) 60 days
d) 50 days
Answer »Answer: (d)
A : B = $D_2 : D_1$
100 : 140 = $D_2$ : 70
100 × 70 = 140 × $D_2$
$D_2 = {100 × 70}/140 = 50$ days.
Using Rule 17If A can do a work in 'x' days and B is R% more efficient than A, then 'B' alone will do the same work in $x × 100/{100 + R}$ days
Here, x = 70, r = 40%
Time taken by B = $x × 100/{100 + R}$
= ${70 × 100}/{100 + 40}$ = 50 days
Question : 27 [SSC CPO S.I.2006]
Kamal can do a work in 15 days. Bimal is 50 per cent more efficient than Kamal in doing the work. In how many days will Bimal do that work?
a) 10$1/2$ days
b) 14 days
c) 12 days
d) 10 days
Answer »Answer: (d)
Using Rule 15The comparison of rate of work done is called efficiency of doing work. Efficiency (E) ∝ $1/\text"No. of days"$ E1 : E2 : E3 = $1/D_1 : 1/D_2 : 1/D_3$, E =$k/D$ or, ED =k or, $E_1D_1= E_2D_2$
Efficiency and time taken are inversely proportional Bimal : Kamal = 150 : 100 (work)
100 : 150 (Time) = 2 : 3
Since, 3 units ⇒ 15 days
2 units ⇒ $15/3 × 2$ = 10
Hence, Bimal complete the work in 10 days
Question : 28 [SSC CHSL 2012]
A is thrice as good a workman as B and is, therefore, able to finish a piece of work in 60 days less than B. The time (in days) in which they can do it working together is
a) 23$1/4$ days
b) 22 days
c) 22$1/2$ days
d) 23 days
Answer »Answer: (c)
Using Rule 2,
If A completes the work in x days,
B will do the same in 3x days.
3x - x = 60
2x = 60
x = 30 and 3x = 90
(A + B)’s 1 day’s work
= $1/30 + 1/90 = {3 + 1}/90$
= $4/90 = 2/45$
A and B together will do the work in $45/2$ or 22$1/2$ days.
Question : 29 [SSC CGL Prelim 2003]
Babu and Asha can do a job together in 7 days. Asha is 1$3/4$ times as efficient as Babu. The same job can be done by Asha alone in
a) $28/3$ days
b) $49/4$ days
c) $49/3$ days
d) 11 days
Answer »Answer: (d)
Ratio of efficiency of Babu and Asha
= 1 : $7/4$ = 4 : 7.
As the time taken is inversely proportional to efficiency, therefore, if Babu takes 7x days to complete work, Asha will take 4x days.
$1/{7x} + 1/{4x} = 1/7 ⇒ {4 + 7}/{28x} = 1/7$
28x = 11 × 7
$x = {11 × 7}/28 = 11/4$
Asha will complete the work in
$4x = 4 × 11/4$ = 11 days.
Using Rule 22,
Here, n = $7/4$, D = 7
Time taken by Asha= $({n + 1}/n)$D days
= $({{7/4} + 1}/{7/4}) × 7 = 11/7 × 7$ = 11 days
Question : 30 [SSC CGL Tier-II 2013]
Sunil completes a work in 4 days, whereas Dinesh completes the work in 6 days. Ramesh works 1$1/2$ times as fast as Sunil. The three together can complete the work in
a) 1$5/19$ days
b) 1$5/12$ days
c) 1$5/7$ days
d) 1$3/8$ days
Answer »Answer: (a)
Using Rule 3If A can do a work in 'x' days, B can do the same work in 'y' days, C can do the same work in 'z' days then, total time taken by A, B and C to complete the work together = $1/{1/x + 1/y + 1/z} = {xyz}/{xy + yz + zx}$and If workers are more than 3 then total time taken by A, B, C ...... so on to complete the work together = $1/{1/x + 1/y + 1/z + ...}$
Time taken by Ramesh
= $4 × 2/3 = 8/3$ days
Work done by all three in 1 day
= $1/4 + 1/6 + 3/8 = {6 + 4 + 9}/24 = 19/24$
Required time
= $24/19 = 1{5}/19$ days
IMPORTANT quantitative aptitude EXERCISES
-
Top 199+ Basic Time and Work Aptitude MCQs with Answers »
-
Top 200+ Time and Work Problem Solving By Formula Method »
-
New 189+ Time & Work MCQs Practice Test for BANK Exams »
-
Top 199+ Time & Work MCQs: Men Women Child for BANK Exam »
-
Top 199+ Time and Work Questions Test on Fraction of Work »
-
Top 199+ Time and Work Efficiency Based Aptitude MCQ Quiz »
-
New 299+ Time and Work Aptitude Test On Individual Wages »
Model 6 Efficiency of the worker Shortcuts »
Click to Read...Model 6 Efficiency of the worker Online Quiz
Click to Start..time & work Shortcuts and Techniques with Examples
-
Model 1 Basics on Time & Work
Defination & Shortcuts … -
Model 2 Formula method ‘M1D1W1 = M2D2W2’
Defination & Shortcuts … -
Model 3 Man leaves & joins
Defination & Shortcuts … -
Model 4 Working with Man, Woman, Child
Defination & Shortcuts … -
Model 5 Split & Fraction of work
Defination & Shortcuts … -
Model 6 Efficiency of the worker
Defination & Shortcuts … -
Model 7 Working with individual wages
Defination & Shortcuts …
quantitative aptitude CATEGORIES
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
Most Important Antonyms Vocabulary - IBPS Clerk Prelims 2024
Latest Antonyms multiple choice questions and answers with free PDFfor IBPS Clerk Prelims 2024. English Vocabulary practice exercise for all bank exam
Continue Reading »
Syllogism Practice Questions Answers PDF - IBPS Clerk 2024
Practice Verbal Reasoning Syllogism multiple choice questions and answers with Fully solved explanation, PDF for the IBPS Clerk Prelims 2024 Bank Exam
Continue Reading »
IBPS Clerk Prelims 2024 Synonyms Questions Solved Answers
Most important IBPS Clerk Prelims 2024 Synonyms and Antonyms multiple choice questions and answers with detailed solutions, English vocabulary PDF Download
Continue Reading »
New Cloze Test Questions and Answers PDF - IBPS Clerk 2024
The most important Cloze Test questions with detailed answers for upcoming IBPS Clerk prelims 2024. Latest English verbal ability practice MCQs, PDF
Continue Reading »