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 : 36 [SSC CHSL 2011]
A can do a work in 21 days. B is 40% more efficient than A. The number of days required for B to finish the same work alone is
a) 18 days
b) 10 days
c) 12 days
d) 15 days
Answer »Answer: (d)
Time taken by B
= ${21 × 100}/140$ = 15 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 = 21, R = 40%
Time taken By B = $x × 100/{100 + R}$ days
= $21 × 100/140$ days = 15 days
Question : 37 [SSC DEO 2008]
A takes twice as much time as B and thrice as much as C to complete a piece of work. They together complete the work in1 day. In what time, will A alone complete the work.
a) 4 days
b) 9 days
c) 5 days
d) 6 days
Answer »Answer: (d)
Let time taken by C to complete the work = x days
Time taken by A to complete the work = 3x days
and time taken by B to complete the work = ${3x}/2$ days
According to the question,
$1/{3x} + 1/{{3x}/2} + 1/x = 1$
$1/{3x} + 2/{3x} + 1/x = 1$
${1 + 2 + 3}/{3x} = 1$
$6/{3x} = 1 ⇒ 2/x = 1 ⇒ x = 2$
Time taken by A
= 3x = 3 × 2 = 6 days
Question : 38 [SSC CGL Tier-I 2016]
If 10 people can do a job in 20 days, then 20 people with twice the efficiency can do the same job in
a) 40 days
b) 5 days
c) 10 days
d) 20 days
Answer »Answer: (b)
In second case, the efficiency of a man is twice to that in the first case.
$M_1D_1 = M_2D_2$
10 × 20 = 2 × 20 × $D_2$
$D_2 = {10 × 20}/{2 × 20}$ = 5 days.
IMPORTANT quantitative aptitude EXERCISES
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Top 199+ Time and Work Efficiency Based Aptitude MCQ Quiz »
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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
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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 …
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