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 : 6 [SSC MTS 2011]
A is twice as good a workman as B and together they finish a piece of work in 14 days. The number of days taken by A alone to finish the work is
a) 42 days
b) 11 days
c) 21 days
d) 28 days
Answer »Answer: (c)
Using Rule 2,
If A completes the work in x days, B will take 2x days.
$1/x + 1/{2x} = 1/14 ⇒ {2 + 1}/{2x} = 1/14$
2x = 42 ⇒ x = 21 days
Question : 7 [SSC CPO S.I.2008]
A 10 hectare field is reaped by 2 men, 3 women and 4 children together in 10 days. If working capabilities of a man, a woman and a child are in the ratio 5 : 4 : 2, then a 16 hectare field will be reaped by 6 men,4 women and 7 children in
a) 8 days
b) 5 days
c) 6 days
d) 7 days
Answer »Answer: (a)
Using Rule 1,
Ratio of the working capabilities of a man, a woman and a child = 5 : 4 : 2
Ratio of man, woman and child equivalence = $1/5 : 1/4 : 1/2$
= $1/5 × 20 : 1/4 × 20 : 1/2 × 20$ = 4 : 5 : 10
or 4 men ≡ 5 women ≡ 10 children
4 men = 10 children
2 men ≡ 5 children and 6 men ≡ 15 children
5 women = 10 children
3 women ≡ 6 children
4 women ≡ 8 children
2 men + 3 women + 4 Children = 15 children
6 men + 4 women + 7 children = 30 children
Children | Field | Days |
15 | 10 | 10 |
↑ | ↓ | ↓ |
30 | 16 | x |
∴ ${30 : 15}/{10 : 16}]$ : : 10 : x
where, x is no. of days
30 × 10 × x = 15 × 16 × 10
x = ${15 × 16 × 10}/{30 × 10} = 8$ days
Question : 8 [SSC CGL Tier-II 2013]
Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked $1/3$ as efficiently as he actually did, the work would have been completed in 3 days. To complete the job alone, A would require
a) 8$3/4$ days
b) 5$1/5$ days
c) 6$1/4$ days
d) 7$1/2$ days
Answer »Answer: (c)
Using Rule 2,
If A alone does the work in x days and B alone does the work in y days, then
$1/x + 1/y = 1/5$ ...(i)
Again, $2/x + 1/{3y} = 1/3$ ...(ii)
By equation (ii) × 3 - (i),
$6/x + 1/y - 1/x - 1/y = 1 - 1/5$
$6/x - 1/x = 4/5$
${6 - 1}/x = 4/5$
$x = 25/4 = 6{1}/4$ days
Question : 9 [SSC CGL Tier-I 2015]
If A, B and C can complete a work in 6 days. If A can work twice faster than B and thrice faster than C, then the number of days C alone can complete the work is :
a) 11 days
b) 33 days
c) 44 days
d) 22 days
Answer »Answer: (b)
Using Rule 3,
Let time taken by A = x days
Time taken by B = 2x days
Time taken by C = 3x days
According to the question,
$1/x + 1/{2x} + 1/{3x}$ = 1 6
${6 + 3 + 2}/{6x} = 1/6$
$11/{6x} = 1/6$
6x = 6 × 11
$x = {6 × 11}/6$ = 11
Time taken by C alone = 3x = 3 × 11 = 33 days
Question : 10 [SSC CPO S.I.2009]
Jyothi can do $3/4$ of a job in 12 days. Mala is twice as efficient as Jyothi. In how many days will Mala finish the job ?
a) 16 days
b) 6 days
c) 8 days
d) 12 days
Answer »Answer: (c)
Using Rule 1If $M_1$ men can finish $W_1$ work in $D_1$ days and $M_2$ men can finish $W_2$ work in $D_2$ days then, Relation is${M_1D_1}/{W_1} = {M_2D_2}/{W_2}$ andIf $M_1$ men finish $W_1$ work in $D_1$ days, working $T_1$ time each day and $M_2$ men finish $W_2$ work in $D_2$ days, working $T_2$ time each day, then${M_1D_1T_1}/{W_1} = {M_2D_2T_2}/{W_2}$
Jyothi can do $3/4$ th of a job in 12 days.
Jyothi can do 1 job in ${12 × 4}/3$ = 16 days.
As Mala is twice as efficient as Jyothi,
Mala will finish the job in 8 days.
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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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