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) Rs.67.50
(b) Rs.27.50
(c) Rs.70.50
(d) Rs.60.50
The correct answers to the above question in:
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
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Read more formula method m1d1w1 m2d2w2 Based Quantitative Aptitude Questions and Answers
Question : 1
A can do a piece of work in 16 days and B in 24 days. They take the help of C and three together finish the work in 6 days. If the total remuneration for the work is Rs.400. The amount (in rupees) each will receive, in proportion, to do the work is
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
Answer »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
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
Question : 4
A labourer was appointed by a contractor on the condition that he would be paid Rs.75 for each day of his work but would be fined at the rate of Rs.15 per day for his absence, apart from losing his wages, After 20 days, the contractor paid the labourer Rs.1140. The number of days the labourer abstained from work was
a) 3
b) 5
c) 2
d) 4
Answer »Answer: (d)
Total salary for 20 days
= Rs.(75 × 20) = Rs.1500
Actual salary received = Rs.1140
Difference = Rs.(1500 - 1140) = Rs.360
Money deducted for 1 day’s absence from work
=Rs.(15 + 75) = Rs.90
Number of days he was absent
= $360/90 = 4$ days
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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