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 : 1 [SSC CHSL 2011]
A can do a work in 9 days, if B is 50% more efficient than A, then in how many days can B do the same work?
a) 3 days
b) 13.5 days
c) 4.5 days
d) 6 days
Answer »Answer: (d)
Time taken by B = $9 × 100/150$ = 6 days
Using Rule 17,
Here, x = 9, R = 50%
Time taken by B = $x × 100/{100 + R}$ days
= $9 × 100/150$ = 6 days
Question : 2 [SSC CPO S.I.2010]
Tapas works twice as fast as Mihir. If both of them together complete a work in 12 days, Tapas alone can complete it in
a) 24 days
b) 15 days
c) 18 days
d) 20 days
Answer »Answer: (c)
Using Rule 2,
If Tapas alone takes x days to complete the work, then
$1/x + 1/{2x} = 1/12$
${2 + 1}/{2x} = 1/12$
$2x = 36 ⇒ x = 18$ days
Question : 3 [SSC CGL TierI 2014]
Pratibha is thrices as efficient as Sonia and is therefore able to finish a piece of work in 60 days less than Sonia. Pratibha and Sonia can individually complete the work respectively in
a) 40 days, 120 days
b) 30 days, 60 days
c) 60 days, 90 days
d) 30 days, 90 days
Answer »Answer: (d)
Time taken by Sonia = 3x days (let)
Time taken by Pratibha = x days
3x  x = 60 ⇒ 2x = 60 ⇒ x = 30 days
Time taken by Sonia = 3x days
= 3 × 30 = 90 days.
Question : 4 [SSC CGL Prelim 2005]
A does half as much work as B in one sixth of the time. If together they take 10 days to complete a work, how much time shall B take to do it alone?
a) 50 days
b) 70 days
c) 30 days
d) 40 days
Answer »Answer: (d)
Let B does the whole work in x days
Work done by B in 1 day = $1/x$
According to question
A does the $1/2$ work in $x/6$ days
A does the whole work in ${2x}/6 or = x/3$ days
Work done by A in one day = $3/x$
Work done by A and B together in one day
= $1/x + 3/x = 4/x$
Time taken to complete the whole work by A and B together
= $1/{4/x} = x/4$ days
Again, given that $x/4$ = 10 ∴ x = 40 days
Using Rule 22
The efficiency of A to work is 'n' times more than that of B, Both start to work together and finish it in 'D' days. Then, A and B will separately complete, the work in $({n + 1}/n)$D and (n + 1) D days respectively.
Here, n = 3, d = 10
A is 3 times more efficient thanB.
Time taken by B = (n + 1) × D
= (3 + 1) × 10 = 40 days
Question : 5 [SSC Delhi Police S.I.2012]
To do a certain work, B would take time thrice as long as A and C together and C twice as long as A and B together. The three men together complete the work in 10 days. The time taken by A to complete the work separately is
a) 20 days
b) 22 days
c) 24 days
d) 30 days
Answer »Answer: (c)
Using Rule 2 and 3,
If B does the work in 3x days,
(A + C) will do the same work in x days.
If C does that work in 2y days.
(A + B) will do it in y days.
$1/x + 1/{3x} = 1/10$
$4/{3x} = 1/10$
$3x = 40 ⇒ x = 40/3$
Again, $1/y + 1/{2y} = 1/10$
$3/{2y} = 1/10 ⇒ y = 15$
(A + B + C)’s 1 day’s work = $1/10$
$1/A + 1/40 + 1/30 = 1/10$
$1/A = 1/10  1/40  1/30$
= ${12  3  4}/120 = 5/120 = 1/24$
A alone will complete the work in 24 days.
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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

» Number System

» Average

» LCM & HCF

» Percentage

» Profit & Loss

» Time & Work

» Pipes & Cisterns

» Time & Distance

» Trains

» Compound Interest

» Simplification

» Discount

» Power

» Permutations & Combination

» Ratio & Proportion

» Advance Math

» Algebraic Expressions

» Trigonometric Ratios & Identities

» Simple Interest

» Alligation & Mixtures

» Boats & Streams

» Set Theory

» Linear Equations

» Quadratic Equations

» Mensuration

» Squareroots & Cuberoots

» Data Sufficiency

» Logarithm

» Probability

» Statistics
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