Model 3 Man Leaves & Joins 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 2004]
A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days, B had to leave and A alone completed the remaining work. The whole work was completed in :
a) 8 days
b) 12 days
c) 15 days
d) 10 days
Answer »Answer: (b)
Work done by (A + B) in 1 day
= $1/15 + 1/10 = {2 + 3}/30 = 5/30 = 1/6$
(A + B)’s 2 days’ work = $2/6 = 1/3$
Remaining work = $1  1/3 = 2/3$
This part is done by A alone.
Since, one work is done by A in 15 days.
$2/3$ work is done in $15 × 2/3$ = 10 days.
Total number of days = 10 + 2 = 12 days
Using Rule 20,
Here, m = 15, n = 10, p =2
A alone completed the work in
= $\text"mn  p(m+n)"/ \text"n"$days
= ${15 × 10  2(15 + 10)}/10$
= ${150  50}/10$ = 10 days
Total time taken= 10 + 2 = 12 days
Question : 2 [SSC CPO S.I.2003]
A and B working separately can do a piece of work in 10 days and 15 days respectively. If they work on alternate days beginning with A, in how many days will the work be completed ?
a) 13 days
b) 12 days
c) 6 days
d) 18 days
Answer »Answer: (b)
Work done by 2 (A + B) in one day
= $1/10 + 1/15 = {3 + 2}/30 = 5/30 = 1/6$
Work done by (A + B) in one day = $1/12$
(A + B) can complete the work in 12 days
Question : 3 [SSC CPO S.I.2003]
A and B can do a piece of work in 30 days while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work ?
a) 24 days
b) 30 days
c) 36 days
d) 18 days
Answer »Answer: (d)
(A + B)’s day’s work = $1/30$
(B + C)’s 1 day’s work = $1/24$
(C + A)’s 1 day’s work = $1/20$
2 (A + B + C)’s 1 day’s work = $1/30 + 1/24 + 1/20$
= ${4 + 5 + 6}/120 = = 15/120 = 1/8$
(A + B + C)’s 1 day’s work = $1/16$
(A + B + C)’s 10 days’ work = $10/16 = 5/8$
Remaining work = $1 5/8 = 3/8$
This part of work is done by A alone.
Now A’s 1 day’s work = $1/16  1/24$
= ${3  2}/48 = 1/48$
The required no. of days
=$3/8 × 48$ = 18 days
Question : 4 [SSC CHSL 2012]
A can do a piece of work in 20 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in
a) 7 days
b) 11 days
c) 3 days
d) 5 days
Answer »Answer: (d)
Work done by B in 9 days = $9/12 = 3/4$ part
Remaining work
= $1  3/4 = 1/4$ which is done by A
Time taken by A = $1/4 × 20$ = 5 days
Question : 5 [SSC CPO S.I.2008]
A and B alone can complete work in 9 days and18 days respectively. They worked together; however 3 days before the completion of the work A left. In how many days was the work completed ?
a) 8 days
b) 6 days
c) 5 days
d) 13 days
Answer »Answer: (a)
Let the work be completed in x days.
According to the question,
A worked for (x –3) days, while B worked for x days.
${x  3}/9 +x/18$ = 1
${2x  6 + x}/18$ = 1
3x–6 = 18
3x = 18 + 6 = 24 ⇒ x = $24/3$ = 8 days
Using Rule 8,
Here, x = 9, y = 18, m = 3
Total time taken = ${(x + m)y}/{x + y}$
=${(9 + 3) × 18}/{9 + 18}$
= ${12 × 18}/27$ = 8 days
IMPORTANT QUANTITATIVE APTITUDE 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 »
Model 3 Man Leaves & Joins Shortcuts »
Click to Read...Model 3 Man Leaves & Joins 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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