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.10000
(b) Rs.18000
(c) Rs.12000
(d) Rs.16000
The correct answers to the above question in:
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
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Read more formula method m1d1w1 m2d2w2 Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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 : 3
Suman can do a work in 3 days. Sumati can do the same work in 2 days. Both of them finish the work together and get Rs.150. What is the share of Suman ?
a) Rs.30
b) Rs.60
c) Rs.75
d) Rs.70
Answer »Answer: (b)
Ratio of Suman’s and Sumati’s 1 day’s work
= $1/3 : 1/2 = 2 : 3$
Sum of the ratios = 2 + 3 = 5
Suman’s share = $2/5 × 150$ = Rs.60
Using Rule 24A can do a work in 'm' days and B can do the same work in 'n' days. If they work together and total wages is R, then.Part of A = $n/{m + n} × R$Part of B = $m/{m + n} × R$
Here, m = 3, n = 2, R = 150
Share of suman = $n/{m + n} × R$
= $2/{3 + 2} × 150 = 2/5 × 150$ = 60
Question : 4
A, B and C are employed to do a piece of work for Rs.575. A and C are supposed to finish $19/23$ of the work together. Amount shall be paid to B is
a) Rs.210
b) Rs.100
c) Rs.475
d) Rs.200
Answer »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
Question : 5
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 : 6
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
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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