Model 1 Basics on Time & Work 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 2007]
A alone can complete a work in 12 days. A and B together can complete it in 8 days. How long will B alone take to complete the work ?
a) 20 days
b) 16 days
c) 24 days
d) 18 days
Answer »Answer: (c)
A’s 1 day’s work = $1/12$
(A+B)’s 1 day’s work = $1/8$
B’s 1 day’s work =$1/8 - 1/12 = {3 - 2}/24 = 1/24$
B alone can do the work in 24 days.
Using Rule 4,
Time taken by B = ${12 × 8}/{12 - 8}$ = 24 days
Question : 2 [SSC CGL Tier-I 2010]
If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work ?
a) 30 days
b) 40 days
c) 60 days
d) 45 days
Answer »Answer: (c)
(A + B)’s 1 day’s work = $1/15$
B’s 1 day’s work = $1/20$
A’s 1 day’s work = $1/15 - 1/20 = {4 - 3}/60 = 1/60$
A alone will do the work in 60 days.
Using Rule 4,
A alone do in = ${15 × 20}/{20 - 15}$
= ${15 × 20}/5$ = 60 days
Question : 3 [SSC (South Zone) Investigator 2010]
If A and B together can complete a work in 12 days, B and C together in 15 days and C and A together in 20 days, then B alone can complete the work in
a) 20 days
b) 24 days
c) 30 days
d) 25 days
Answer »Answer: (a)
(A + B)’s 1 day’s work = $1/12$
(B + C)’s 1 day’s work = $1/15$
(C + A)’s 1 day’s work = $1/20$
On adding,
2 (A + B + C)’s 1 day's work = $1/12 + 1/15 + 1/20$
= ${5 + 4 + 3}/60 = 1/5$
(A+B+C)’s 1 day’s work = $1/10$
B’s 1 day’s work = $1/10 - 1/20 = {2 - 1}/20 = 1/20$
B alone can do the work in 20 days.
Using Rule 19,
B alone can do in = ${2 × 12 × 15 × 20}/{-12 × 15 + 15 × 20 + 20 × 12}$
= ${24 × 300}/{-180 + 300 + 240} = {24 × 300}/360$ = 20 days
Question : 4 [SSC CGL Prelim 2005]
A and B can do a piece of work in 12 days, B and C in 8 days and C and A in 6 days. How long would B take to do the same work alone ?
a) 48 days
b) 40 days
c) 24 days
d) 32 days
Answer »Answer: (a)
(A + B)'s 1 day's work = $1/12$ ...(i)
(B + C)'s 1 day's work = $1/8$ ...(ii)
(C + A)'s 1 day's work = $1/6$ ...(iii)
On adding,
2(A + B + C)'s 1 day's work = $1/12 + 1/8 + 1/6$
= ${2 + 3 + 4}/24 = 9/24$
(A+ B + C)'s 1 day’s work = $9/{24 × 2} = 9/48$ ...(iv)
On, subtracting (iii) from (iv),
B’s 1 day’s work = $9/48 - 1/6$
= ${9 - 8}/48 = 1/48$
B can complete the work in 48 days.
Using Rule 19,
B alone can do in = ${2 × 12 × 8 × 6}/{-12 × 8 + 8 × 6 + 6 × 12}$
= ${24 × 48}/{-96 + 48 + 72} = {24 × 48}/{-96 + 120}$
= ${24 × 48}/24$ = 48 days
Question : 5 [SSC CPO 2011]
A and B working together; can do a piece of work in 4$1/2$ hours. B and C working together can do it in 3 hours. C and A working together can do it in 2$1/4$ hours. All of them begin the work at the same time. Find how much time they will take to finish the piece of work.
a) 3·25 hours
b) 2·5 hours
c) 3 hours
d) 2 hours
Answer »Answer: (d)
(A + B)’s 1 hour’s work = $2/9$ .....(i)
(B + C)’s 1 hour’s work = $1/3$ ......(ii)
(C + A)’s 1 hour’s work = $4/9$ .....(iii)
Adding all three equations,
2 (A + B + C)’s 1 hour’s work = $2/9 + 1/3 + 4/9$
${2 + 3 + 4}/9$ = 1
A, B and C together will complete the work in 2 hours.
Using Rule 5,
Time taken = ${2 × 9/2 × 3 × 9/4}/{9/2 × 3 + 3 × 9/4 + 9/2 × 9/4}$
= ${{18 × 27}/8}/{27/2 + 27/4 + 81/8}$
= ${18 × 27}/8 × 8/({108 + 54 + 81})$
= ${18 × 27}/243$ = 2 hours
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 1 Basics on Time & Work Shortcuts »
Click to Read...Model 1 Basics on Time & Work 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
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
Coded Inequalities Reasoning Questions & Answers For Bank
New 150+ Coded Inequalities Verbal Reasoning Multiple-Choice Questions and Answers Free Practice Test & Online Quiz PDF For All IBPS PO SO & CLERK 2024 Exams
Continue Reading »
150+ Problem Solving Questions and Answers For Bank Exams
Problem-Solving Verbal Reasoning Concepts based Multiple Choice Questions and Answers Mock Test & Online MCQ Quiz for All 2024 Upcoming IBPS PO Clerk SO Exam
Continue Reading »
New 150+ Syllogism Verbal MCQ Test PDF For IBPS RRB Exams
Free Syllogism Practice Multiple Choice Questions with Solved Answer PDF and All Verbal Reasoning Topics Online Mock Test For IBPS RRB PO & Clerk Exams 2024.
Continue Reading »
New 200+ Syllogism Questions & Answers PDF For SSC Exams
Free Verbal Reasoning Syllogism Multiple Choice Questions with Solved Answer PDF & Online Mock Test. Prepare for all upcoming SSC CGL, CHSL, MTS Exams 2024
Continue Reading »