Model 4 Working With Man, Woman, Child 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 CGL Prelim 2002]
If 5 men or 8 women can do a piece of work in 12 days, how many days will be taken by 2 men and 4 women to do the same work?
a) 13$1/3$ days
b) 15 days
c) 13$1/2$ days
d) 10 days
Answer »Answer: (a)
According to the question 5 men = 8 women
2 men = $8/5 × 2 = 16/5$ women
Total women = $16/5 + 4 = 36/5$ women
No. of days to do the same work
= ${8 × 12}/{36/5} = {8 × 12 × 5}/36$
= $40/3 = 13{1}/3$ days
Using Rule 12,
Here, A = 5, B = 8, a = 12, $A_1$ = 2 and $B_1$ = 4
Time taken = ${a(A × B)}/{A_1B + B_1A}$
= ${12(5 × 8)}/{2 × 8 + 4 × 5}$
= ${12 × 40}/36 = 33{1}/3$ days
Question : 2 [SSC CGL Prelim 2003]
If 3 men or 4 women can plough a field in 43 days, how long will 7 men and 5 women take to plough it ?
a) 9 days
b) 10 days
c) 11 days
d) 12 days
Answer »Answer: (d)
3 men = 4 women
1 man = $4/3$ women
7 men = ${7 × 4}/3 = 28/3$ women
7 men + 5 women = $28/3 + 5$
= ${28 + 15}/3 = 43/3$ Women
Now, $M_1D_1 = M_2D_2$
4 × 43 = $43/3 × D_2$ ,
where $D_2$ = number of days
$D_2 = {4 × 3 × 43}/43$ = 12 days.
Using Rule 12,
Here, A = 3, B = 4, a = 43, $A_1$ = 7 and $B_1$ = 5
Time taken = ${a(A × B)}/{A_1B + B_1A}$
= ${43(3 × 4)}/{7 × 4 + 5 × 3}$
= ${43 × 12}/43$ = 12 days
Question : 3 [SSC CGL Prelim 2000]
A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in $1/4$ of a day?
a) 19
b) 1
c) 4
d) 41
Answer »Answer: (d)
1 man’s 1 day’s work = $1/3$
1 woman’s 1 day’s work = $1/4$
1 boy’s 1 day’s work = $1/12$
(1 man + 1 woman)’s $1/4$ day’s work = $1/4(1/3 + 1/4) = 7/48$
Remaining work = $1  7/48 = 41/48$
Now, 1 boy’s $1/4$ day’s work = $1/4 × 1/12 = 1/48$
$41/48$ work will be done by $41/48$ × 48 = 41 boys.
Question : 4 [SSC CGL TierI 2014]
A man, a woman and a boy together finish a piece of work in 6 days. If a man and a woman can do the work in 10 and 24 days respectively. The days taken by a boy to finish the work is
a) 40
b) 30
c) 35
d) 45
Answer »Answer: (a)
Time taken by boy = x days
$1/10 + 1/24 + 1/x = 1/6$
$1/x = 1/6  1/10  1/24$
= ${20  12  5}/120 = 3/120 = 1/40$
x = 40 days
Using Rule 18,
Here , x = 6, y = 10, z = 24
Number of days = ${xyz}/{yz –x(y + z)}$ days
= ${6 × 10 × 24}/{10 × 24  6(10 + 24)}$
= $1440/{240  204} = 1440/36$ = 40 days
Question : 5 [SSC CGL TierI 2014]
If 40 men or 60 women or 80 children can do a piece of work in 6 months, then 10 men, 10 women and 10 children together do half of the work in
a) 5$7/13$ months
b) 5$6/13$ months
c) 6 months
d) 11$1/13$ months
Answer »Answer: (a)
40 men ≡ 60 women ≡ 80 children
10 men ≡ $80/40 × 10$ = 20 children
10 women ≡ $80/60 × 10 = 40/3$ children
10 men + 10 women + 10 children
= $(20 + 40/3 +10)$ children
= $({60 + 40 + 30}/3)$ children = $130/3$ children
${M_1D_1}/W_1 = {M_2D_2}/W_2$
$D_2 = {80 × 6 × 13}/130 = 144/13$ months
Half of the work can do
= $144/13 × 1/2 = 72/13 = 5{7}/13$ months
Using Rule 13
If A men or B boys or C women can do a certain work in 'a' days, then $A_1$ men, $B_1$ boys and $C_1$ women can do the same work in
Time taken = $a/{A_1/A + B_1/B + C_1/C}$
Here, A = 40, B= 60, C = 80, a = 6
$A_1 = 10, B_1 = 10, C_1$ = 10
Time taken = $a/{A_1/A + B_1/B + C_1/C}$
= $6/{10/40 + 10/60 + 10/80}$
= $6/{1/4 + 1/6 + 1/8}$
= $6/{{6 + 4 + 3}/24} = 144/13$
Half of the work they do in = $1/2 × 144/13$ months
= $72/13 = 5{7}/13$ months
IMPORTANT QUANTITATIVE APTITUDE EXERCISES

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Top 199+ Time & Work MCQs: Men Women Child for BANK Exam »

Top 199+ Time and Work Questions Test on Fraction of Work »

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New 299+ Time and Work Aptitude Test On Individual Wages »
Model 4 Working With Man, Woman, Child Shortcuts »
Click to Read...Model 4 Working With Man, Woman, Child 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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