Model 2 Formula Method ‘M1D1W1 = M2D2W2’ 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 TierI 2010]
If 5 men or 7 women can earn Rs.5,250 per day, how much would 7 men and 13 women earn per day ?
a) Rs.11,600
b) Rs.11,700
c) Rs.17,100
d) Rs.16,100
Answer »Answer: (c)
5 men ≡ 7 women
[Both earn same amount in 1 day]
7 men ≡ $7/5 × 7 = 49/5$ women
7 men + 13 women
= $49/5 + 13 = 114/5$ women
Now, Since, 7 women ≡ Rs.5250
$114/5$ women ≡ $5250/7 × 114/5$ = Rs.17100
Question : 2 [SSC Constable (GD) 2013]
A, B and C together earn Rs.150 per day while A and C together earn Rs.94 and B and C together earn Rs.76. The daily earning of ‘C’ is
a) Rs.56
b) Rs.20
c) Rs.75
d) Rs.34
Answer »Answer: (b)
The daily earning of ‘C’
= Daily earning of (A + C) and (B + C)  Daily earning of (A + B + C)
= 94 + 76  150 = Rs.20
Question : 3 [SSC DEO 2008]
2 men and 1 woman together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days. If a man gets Rs.600 per day, how much should a woman get per day?
a) Rs.400
b) Rs.450
c) Rs.360
d) Rs.480
Answer »Answer: (a)
According to the question,
(2 × 14) men + 14 women
= 16 men + 32 women
(28  16) men =(32–14) women
12 men = 18 women
2 men = 3 women
1 woman = $2/3$ man
Amount received by 1 woman per day
= $2/3 × 600$ = Rs.400
Question : 4 [SSC CGL Prelim 2003]
A and B undertook to do a piece of work for Rs.4500. A alone could do it in 8 days and B alone in 12 days. With the assistance of C they finished the work in 4 days. Then C’s share of the money is
a) Rs.2250
b) Rs.1500
c) Rs.375
d) Rs.750
Answer »Answer: (d)
Using Rule 25
If A, B and C finish the work in m, n and p days respectively and they receive the total wages R, then the ratio of their wages is $1/m : 1/n : 1/p$
C’s 1 day’s work
= $1/4  (1/8 + 1/12) = 1/4  ({3 + 2}/24)$
= $1/4  5/24 = {6  5}/24 = 1/24$
A : B : C = $1/8 : 1/12 : 1/24$ = 3 : 2 : 1
C’s share = Rs.$(1/6 × 4500)$ = Rs.750
Question : 5 [SSC CGL Prelim 2007]
Two men undertook to do a job for Rs.1400. One of them can do it alone in 7 days, and the other in 8 days. With the assistance of a boy they together completed the work in 3 days. How much money will the boy get ?
a) Rs.300
b) Rs.325
c) Rs.250
d) Rs.275
Answer »Answer: (d)
Using Rule 25,
First man’s 1 day’s work = $1/7$
Second man’s 1 day’s work = $1/8$
Let, Boy’s 1 day’s work = $1/x$
$1/7 + 1/8 + 1/x = 1/3$
$1/x = 1/3  1/7  1/8$
= ${56  24  21}/168 = 11/168$
Ratio of their one day’s work
= $1/7 : 1/8 : 11/168$ = 24 : 21 : 11
Sum of the ratios
= 24 + 21 + 11= 56
Boy’s share in wages
= $11/56 × 1400$ = Rs.275
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Model 2 Formula Method ‘M1D1W1 = M2D2W2’ Shortcuts »
Click to Read...Model 2 Formula Method ‘M1D1W1 = M2D2W2’ 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 …
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