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.200
(b) Rs.240
(c) Rs.300
(d) Rs.250
The correct answers to the above question in:
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
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Read more formula method m1d1w1 m2d2w2 Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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 : 3
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 : 4
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
Question : 5
A and B undertake a piece of work for Rs. 250. A alone can do that work in 5 days and B alone can do that work in 15 days. With the help of C, they finish the work in 3 days. If every one gets paid in proportion to work done by them, the amount C will get is :
a) Rs.50
b) Rs.100
c) Rs.200
d) Rs.150
Answer »Answer: (a)
Let C alone complete the work in x days.
According to the question,
$1/5 + 1/15 + 1/x = 1/3$
$1/x = 1/3 - 1/5 - 1/15$
= ${5 - 3 - 1}/15 = 1/15$
x = 15 days = Time taken by C alone.
Ratio of the 1 day’s work of A, B and C
= $1/5 : 1/15 : 1/15$ = 3 : 1 : 1
Sum of the terms of ratio
= 3 + 1 + 1 = 5
C’s share
= Rs.$(1/5 × 250)$ = Rs.50
Question : 6
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
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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