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.210
(b) Rs.100
(c) Rs.475
(d) Rs.200
The correct answers to the above question in:
Answer: (b)
Work done by B
= $1 - 19/23 = {23 - 19}/23 = 4/23$
(A + C) : B = $19/23 : 4/23$ = 19 : 4
Sum of ratios = 19 + 4 = 23
B’s share = $4/23 × 575$ = Rs.100
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Read more formula method m1d1w1 m2d2w2 Based Quantitative Aptitude Questions and Answers
Question : 1
Stanie and Paul take a piece of work for Rs.28,800. One alone could do it in 36 days, the other in 48 days. With the assistance of an expert, they finish it in 12 days. How much remuneration the expert should get ?
a) Rs.10000
b) Rs.18000
c) Rs.12000
d) Rs.16000
Answer »Answer: (c)
Expert’s 1 day’s work
= $1/12 - 1/36 - 1/48$
= ${12 - 4 - 3}/144 = 5/144$
Ratio of their respective work for 1 day
= $1/36 : 1/48 : 5/144$ = 4 : 3 : 5
Expert’s share
= $5/12 × 28800$ = 12000
Question : 2
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs.3200. With the help of C they completed the work in 3 days. How much is to be paid to C ?
a) Rs.375
b) Rs.400
c) Rs.800
d) Rs.600
Answer »Answer: (b)
Using Rule 25,
A’s 1 day’s work = $1/6$
B’s 1 day’s work = $1/8$
(A + B + C)’s 1 day’s work = $1/3$
C’s 1day’s work
= $1/3 - 1/6 - 1/8 = {8 - 4 - 3}/24 = 1/24$
Ratio of their one day’s work respectively
= $1/6 : 1/8 : 1/24$ = 4 : 3 : 1
Sum of the ratios = 4 + 3 + 1 = 8
C’s share = Rs.$1/8$ × 3200 = Rs.400
Question : 3
A sum of money is sufficient to pay A’ s wages for 21 days and B’s wages for 28 days. The same money is sufficient to pay the wages of both for :
a) 12$1/4$ days
b) 14 days
c) 12 days
d) 24$1/2$ days
Answer »Answer: (c)
A's 1 day's work = $1/21$
B's 1 day's work = $1/28$
Total work done by both
= $1/21 + 1/28 = {4 + 3}/84 = 1/12$
Amount is sufficient to pay 12 days wages of both.
Using Rule 2If A completes a piece of work in 'x' days, and B completes the same work in 'y' days, then,Work done by A in 1 day = $1/x$, Work done by B in 1 day = $1/y$ Work done by A and B in 1 day = $1/x + 1/y = {x + y}/{xy}$Total time taken to complete the work by A and B both = $({xy}/{x + y})$
Here, x = 21, y = 28
Required days
= ${xy}/{x + y}= {21 × 28}/{21 + 28}$
= ${21 × 28}/49$ = 12 days
Question : 4
A, B and C can work together for Rs. 550. A and B together are to do $7/11$ of the work. The share of C should be
a) Rs.200
b) Rs.300
c) Rs.450
d) Rs.400
Answer »Answer: (a)
Part of work done by C
= $1 - 7/11 = 4/11$
Total amount received = Rs.550
C’s share
= Rs.$(4/11 × 550)$ = Rs.200
Question : 5
A can do a work in 12 days while B can do it in 15 days. They undertake to complete it together for Rs.450. what will be the share of A in this amount of money ?
a) Rs.200
b) Rs.240
c) Rs.300
d) Rs.250
Answer »Answer: (d)
Ratio of A’s and B’s 1 day’s work
= $1/12 : 1/15$ = 15 : 12 = 5 : 4
Sum of the terms of ratio
= 5 + 4 = 9
A’s share
= Rs.$(5/9 × 450)$ = Rs.250
Question : 6
The average wage of 500 workers was found to be Rs.200. Later on, it was discovered that the wages of two workers were misread as 180 and 20 instead of 80 and 220. The correct average wage is :
a) Rs.200.10
b) Rs.200.20
c) Rs.201.00
d) Rs.200.50
Answer »Answer: (b)
Total wages of 500 workers
= 500 × 200 = Rs.100000
Now, according to question,
Correct Average
= ${(100000 - 180 - 20 + 80 + 220)}/500$
= $100100/500$ = Rs.200.20
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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