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 : 11 [SSC CGL Tier1 2011]
A and B together can do a work in 10 days. B and C together can do the same work in 6 days. A and C together can do the work in 12 days. Then A, B and C together can do the work in
a) 8$2/7$ days
b) 5$5/7$ days
c) 28 days
d) 14 days
Answer »Answer: (b)
(A + B)’s 1 day’s work = $1/10$
(B + C)’s 1 day’s work = $1/6$
(C + A)’s 1 day’s work = $1/12$
Adding all three
2 (A + B + C)’s 1 day’s work = $1/10 + 1/6 + 1/12$
${6 + 10 + 5}/60 = 21/60 = 7/20$
(A + B + C)’s 1 day’s work = $7/40$
All three together will complete the work in $40/7 = 5{5}/7$ = days
Using Rule 5,
Time taken = ${2 × 10 × 6 × 12}/{10 × 6 + 6 × 12 + 12 × 10}$
= $1440/{60 + 72 + 120}$
= $1440/252 = 40/7 = 5{5}/7$ days
Question : 12 [SSC CHSL 2010]
A, B and C together can complete a piece of work in 30 minutes. A and B together can complete the same work in 50 minutes. C alone can complete the work in
a) 150 minutes
b) 80 minutes
c) 60 minutes
d) 75 minutes
Answer »Answer: (d)
Work done by (A + B + C) in 1 minute = $1/30$
Work done by (A + B) in 1 minute = $1/50$
Work done by C alone in 1 minute = $1/30  1/50$
= ${5  3}/150 = 2/150 = 1/75$
C alone will complete the work in 75 minutes.
Using Rule 4,
C alone can do in = ${xy}/{x  y}$
= ${50 × 30}/{50  30}$ = 75 minutes
Question : 13 [SSC CGL Prelim 2005]
A can do a piece of work in 4 hours; B and C can do it in 3 hours. A and C can do it in 2 hours. How long will B alone take to do it ?
a) 24 hours
b) 8 hours
c) 10 hours
d) 12 hours
Answer »Answer: (b)
A’s 1 hour’s work = $1/4$
(B + C)’s 1 hour’s work = $1/3$
(A + C)’s 1 hour’s work = $1/2$
C’s 1 hour’s work
= $1/2  1/4 = {2  1}/4 = 1/4$
and B’s 1 hour’s work
= $1/3  1/4 = {4  3}/12 = 1/12$
Hence, B alone can do the work in 12 hours.
Question : 14 [SSC CGL Prelim 2008]
While working 7 hours a day, A alone can complete a piece of work in 6 days and B alone in 8 days. In what time would they complete it together, working 8 hours a day ?
a) 3.6 days
b) 2.5 days
c) 3 days
d) 4 days
Answer »Answer: (c)
A alone can complete the work in 42 days working 1 hour daily. Similarly, B will take 56 days working 1 hour daily.
A 's 1 day's work = $1/42$
B 's 1 day's work = $1/56$
(A + B) 's 1 day's work = $1/42 + 1/56 = {4 + 3}/168 = 7/168$
Time taken by (A + B) working 8 hours daily
= $168/{7 × 8}$ = 3 days
Using Rule 21
If a man can do a certain work in '$d_1$' daysworking '$h_1$' hours in a days, while another man can do the same work in '$d_2$' days working '$h_2$' hours in a day. Whenthey work together everyday 'h' hours, then in how many days work will complete?
Required time = $[{({h_1d_1}) × ({h_2d_2})}/{h_1d_1 + h_2d_2}] 1/h$
Here, $h_1$ = 7 hours, $h_2$ = 7 hours, $d_1$ = 6 days, $d_2$ = 8 days, h = 8 hours
Required Time = $[{({7 × 6}) × ({7 × 8})}/{7 × 6 + 7 × 8}] × 1/8$
= ${42 × 56}/98 × 1/8 = 2352/98 × 1/8 = 24/8$ = 3 days
Question : 15 [SSC CGL Tier1 2011]
A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in
a) 7 days
b) 6 days
c) 4 days
d) 5 days
Answer »Answer: (b)
(A + B)’s 1 day’s work = $1/8$
(B + C)’s 1 day’s work = $1/12$
(C + A)’s 1 day’s work = $1/8$
On adding,
2 (A + B + C)’s 1 day’s work = $1/8 + 1/12 + 1/8$
${3 + 2 + 3}/24 = 8/24 = 1/3$
(A + B + C)’s 1 day’s work = $1/6$
Hence, the work will be completed in 6 days.
Method 2 :
Time = ${2xyz}/{xy + yz + zx}$
(Here, x = 8, y = 12; z = 8)
= ${2 × 8 × 12 × 8}/{96 + 96 + 64}$
${2 × 8 × 12 × 8}/256$ = 6 days.
Using Rule 5,
Time taken = ${2 × 8 × 12 × 8}/{8 × 12 + 12 × 8 + 8 × 8}$
= ${16 × 96}/{96 + 96 + 64} = {16 × 96}/256$ = 6 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

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» Advance Math

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» Simple Interest

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» Mensuration

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