Model 6 Efficiency of the worker Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 7 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 »
The following question based on time & work topic of quantitative aptitude
(a) 12 days
(b) 18 days
(c) 9 days
(d) 36 days
The correct answers to the above question in:
Answer: (d)
Using Rule 2,
If A alone completes the work in x days, B will complete the same in 2x days.
$1/x + 1/{2x} = 1/12$
${2 + 1}/{2x} = 1/12 ⇒ 2x = 36$
B alone will complete the work in 36 days (i.e. 2x ).
Discuss Form
Read more efficiency of the worker Based Quantitative Aptitude Questions and Answers
Question : 1
A and B together can complete a work in 15 days. A is 50% more efficient worker than B. How long will A take to complete the work alone ?
a) 22.5 days
b) 25 days
c) 21 days
d) 21.4 days
Answer »Answer: (b)
Ratio of the work of A and B done in 1 day = 3 : 2
[Since, B's work doen = x (let), then A's work done = ${x + 50}/100 x = 3/2 x$ So, (A : B)'s work done = $3/2 x : x$ or 3 : 2 ]
Since, Work done by A and B together in 1 day = $1/15$
A’s 1 day’s work = $1/15 × 3/5= 1/25$
Hence, A alone will finish the work in 25 days.
Using Rule 22,
Here, n = $3/2$ because A is 50% more efficient than B.
D = 15
Time taken by A = $({n + 1}/n)$D days
= $({{3/2} + 1}/{3/2}) × 15$ = 25 days
Question : 2
A man does double the work done by a boy in the same time. The number of days that 3 men and 4 boys will take to finish a work which can be done by 10 men in 8 days is
a) 8$4/5$
b) 4
c) 16
d) 7$3/11$
Answer »Answer: (c)
According to the question,
1 man ≡ 2 boys
3 men + 4 boys ≡ (3 + 2) men ≡ 5 men
$M_1D_1 = M_2D_2$
5 × $D_1$ = 10 × 8
$D_1 = {10 × 8}/5$ = 16 days
Question : 3
5 men and 2 women working together can do four times as much work per hour as a man and a woman together. The work done by a man and a woman should be in the ratio :
a) 4 : 1
b) 1 : 2
c) 2 : 1
d) 1 : 3
Answer »Answer: (c)
5m + 2w = 4m + 4w ⇒ m = 2w
Required ratio = 2 : 1
Question : 4
A can do a certain work in 12 days. B is 60% more efficient than A. How many days will B and A together take to do the same job?
a) $60/13$ days
b) $80/13$ days
c) $70/13$ days
d) $75/13$ days
Answer »Answer: (a)
Time taken by B in completing the work
=$12 × 100/160 = 15/2$ days
(A+B)’s 1 day’s work
= $1/12 + 2/15 = {5 + 8}/60 = 13/60$
Hence, the work will be completed in $60/13$ days
Using Rule 17,
Here, x = 12, R = 60%
Time taken by B= $x × 100/{100 + R}$ days
= $12 × 100/160$ days = $15/2$ days
Now using Rule 2,
Time taken by A and B = ${xy}/{x + y}$
= ${12 × {15/2}}/{12 + {15/2}}$
= ${12 × 15}/39 = 60/13$ days
Question : 5
A can do a certain job in 12 days. B is 60% more efficient than A. To do the same job B alone would take :
a) 7 days
b) 7$1/2$ days
c) 8 days
d) 10 days
Answer »Answer: (b)
Time taken by B
= $12 × 100/160 = 15/2 = 7{1}/2$ days
Using Rule 17,
Here, x = 12, R = 60%
Time taken by B = $x × 100/{100 + R}$ days
= $12 × 100/160$ days
= $15/2$ days = 7$1/2$ days
Question : 6
A is twice as good a workman as B and B is twice as good a workman as C. If A and B can together finish a piece of work in 4 days, then C can do it by himself in
a) 12 days
b) 6 days
c) 8 days
d) 24 days
Answer »Answer: (d)
Using Rule 2,
According to the question,
If A takes x days to complete the work, B will take 2x days and C will take 4x days,
Now, (A + B)'s 1 day’s work = $1/4$
$1/x + 1/{2x} = 1/4 ⇒ {2 + 1}/{2x} = 1/4$
2x = 12 ⇒ x = 6
C will complete the work in 4x i.e. 24 days.
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 …
Verbal Reasoning
Question & Answer Quiz
Non Verbal Reasoning
Question & Answer Quiz
Quantitative Aptitude
Question & Answer Quiz
Computer MCQ
Question & Answer Quiz
General English
Question & Answer Quiz
History GK
Question & Answer Quiz
Polity GK
Question & Answer Quiz
Geography GK
Question & Answer Quiz
Economy GK
Question & Answer Quiz
General Awareness GK
Question & Answer Quiz
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 »