Model 2 Formula method ‘M1D1W1 = M2D2W2’ Section-Wise Topic Notes With Detailed Explanation And Example Questions
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The following question based on time & work topic of quantitative aptitude
(a) A : 150, B : 100, C : 150
(b) A : 100, B : 150, C : 150
(c) A : 100, B : 150, C : 100
(d) A : 150, B : 150, C : 100
The correct answers to the above question in:
Answer: (a)
Rule 3 and Rule 25,
If C alone completes the work in x days, then
$1/16 + 1/24 + 1/x =1/6$
$1/x = 1/6 - 1/16 - 1/24$
= ${8 - 3 - 2}/48 = 1/16$ ⇒ x = 16 days
Ratio of their remuneration
= $1/16 : 1/24 : 1/16$
= 3 : 2 : 3
A’s remuneration
= $3/8 × 400$ = Rs.150
B’s remuneration
= $2/8 × 400$ = Rs.100
C’s remuneration
= $3/8 × 400$ = Rs.150
A : 150, B : 100, C : 150
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Read more formula method m1d1w1 m2d2w2 Based Quantitative Aptitude Questions and Answers
Question : 1
The daily wages of A and B respectively are Rs.3.50 and Rs.2.50. When A finishes a certain work, he gets a total wage of Rs.63. When B does the same work, he gets a total wage of Rs.75. If both of them do it together what is the cost of the work ?
a) Rs.67.50
b) Rs.27.50
c) Rs.70.50
d) Rs.60.50
Answer »Answer: (a)
Time taken by A
= $63/{3.50}$ = 18 days
Time taken by B
= $75/{2.5}$ = 30 days
(A + B)’s 1 day’s work
= $1/18 + 1/30$
= ${5 + 3}/90 = 8/90 = 4/45$
Required time = $45/4$ days
Total wages
= Rs.$45/4$ × (3.50 + 2.50)
= Rs.$(45/4 × 6)$ = Rs.67.5
Question : 2
If a man earns Rs.2000 for his first 50 hours of work in a week and is then paid one and a half times his regular hourly rate for any additional hours, then the hours must he work to make Rs.2300 in a week is
a) 6 hours
b) 4 hours
c) 5 hours
d) 7 hours
Answer »Answer: (c)
Earning in the first one hour
= $2000/50$ = Rs.40
Earnings for additional 5 hours
= 40 × $3/2$ × 5 = Rs.300
Question : 3
2 men and 1 woman can complete a piece of work in 14 days while 4 women and 2 men can do the same work in 8 days. If a man gets Rs. 180 per day, then a woman will get per day
a) Rs.150
b) Rs.140
c) Rs.160
d) Rs.120
Answer »Answer: (d)
(2 men + 1 woman)’s 14 days’ work
≡ (4 women + 2 men)’s 8 days’ work
28 men + 14 women
≡ 32 women + 16 men
(28 - 16) = 12 men
≡ (32 - 14) = 18 women
2 men ≡ 3 women
1 woman ≡ $2/3$ man
Since, Wages per day of 1 man = Rs. 180
Wages per day of 1 woman
= $2/3$ × 180 = Rs. 120
time & work Shortcuts and Techniques with Examples
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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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