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 : 26 [SSC Constable (GD) 2012]
A, B and C individually can do a work in 10 days, 12 days and 15 days respectively. If they start working together, then the number of days required to finish the work is
a) 2 days
b) 4 days
c) 16 days
d) 8 days
Answer »Answer: (b)
Work done by A, B and C in 1 day
= $1/10 + 1/12 + 1/15 = {6 + 5 + 4}/60$
= $15/60 = 1/4$
Required time = 4 days
Using Rule 3,
Time Taken = ${xyz}/{xy + yz + zx}$
= ${10 × 12 × 15}/{10 × 12 + 12 × 15 + 15 × 10}$
= $1800/{120 + 180 + 150}$
= $1800/450$ = 4 days
Question : 27 [SSC GL TierI 2013]
A and B can do a work in 12 days, B and C in 15 days and C and A in 20 days. If A, B and C work together, they will complete the work in :
a) 15$2/3$ days
b) 10 days
c) 5 days
d) 7$5/6$ days
Answer »Answer: (b)
According to question,
A and B can do a work in 12 days
(A + B)'s one day's work = $1/12$
Similarly, (B + C)'s one day's work = $1/15$
and (C + A)'s one day's work = $1/20$
On adding all three,
2 (A + B + C)'s one days's work
= $1/12 + 1/15 + 1/20 = {10 + 8 + 6}/120 = 1/5$
(A + B + C)'s one days's work = $1/10$
A, B and C together can finish the whole work in 10 days.
Using Rule 5
If A and B can do a work in 'x' days, B and C can do the same work in 'y' days, C and A can do the same work in 'z' days. Then total time taken, when A, B and C
work together =$2/{(1/x + 1/y + 1/z)}$ OR ${2xyz}/{xy + yz + zx}$ days
Time taken = ${2 × 12 × 15 × 20}/{12 × 15 + 15 × 20 + 20 × 12}$
= ${24 × 300}/{180 + 300 + 240} = 7200/720$ = 10 days.
Question : 28 [SSC GL TierI 2013]
A work can be completed by P and Q in 12 days, Q and R in 15 days, R and P in 20 days. In how many days P alone can finish the work?
a) 60 days
b) 30 days
c) 10 days
d) 20 days
Answer »Answer: (b)
(P + Q)’s 1 day’s work = $1/12$ ...(i)
(Q + R)’s 1 day’s work = $1/15$ ...(ii)
(R + P)’s 1 day’s work = $1/20$ ...(iii)
Adding all three equations,
2 (P + Q + R)’s 1 day’s work = $1/12 + 1/15 + 1/20$
${5 + 4 + 3}/60 = 12/60 = 1/5$
(P + Q + R)’s 1 day’s work = $1/10$ ...(iv)
P’s 1 day’s work = $1/10  1/15 = {3  2}/30 = 1/30$
P alone will complete the work in 30 days.
Question : 29 [SSC CGL Prelim 2000]
A particular job can be completed by a team of 10 men in 12 days. The same job can be completed by a team of 10 women in 6 days. How many days are needed to complete the job if the two teams work together?
a) 18 days
b) 9 days
c) 4 days
d) 6 days
Answer »Answer: (c)
According to question,
10 men’s one day’s work = $1/12$
1 man one day’s work =$1/{12 × 10} = 1/120$
Similarly, 1 woman one day’s work = $1/{6 × 10} = 1/60$
(1 man + 1 woman)’s one day’s work = $1/120 + 1/60$
= ${1 + 2}/120 = 3/120 = 1/40$
(10 men + 10 women)’s one day’s work = $10/40 = 1/4$
Therefore, both the teams can finish the whole work in 4 days.
Question : 30 [SSC CPO S.I.2009]
A and B can do a piece of work in 10 days. B and C can do it in 12 days. C and A in 15 days. In how many days will C finish it alone ?
a) 60 days
b) 40 days
c) 24 days
d) 30 days
Answer »Answer: (b)
(A + B)'s 1 day's work = $1/10$ ... (i)
(B + C)'s 1 day’s work = $1/12$ ... (ii)
(C + A)’s 1 day’s work = $1/15$ ... (iii)
On adding all these,
2(A + B + C)’s 1 day’s work = $1/10 + 1/12 + 1/15$
= ${6 + 5 + 4}/60 = 1/4$
(A + B + C)’s 1 day’s work = $1/8$ … (iv)
C’s 1 day’s work = $1/8  1/10 = {5  4}/40 = 1/40$
C will finish the work in 40 days.
Using Rule 19,
C alone can do in = ${2 × 10 × 12 × 15}/{10 × 12  12 × 15 + 10 × 15}$
= ${240 × 15}/{120  180 + 150} = {240 × 15}/90$ = 40 days
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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

» Number System

» Average

» LCM & HCF

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» Profit & Loss

» Time & Work

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» Time & Distance

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» 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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