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.200.10
(b) Rs.200.20
(c) Rs.201.00
(d) Rs.200.50
The correct answers to the above question in:
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
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Read more formula method m1d1w1 m2d2w2 Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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 : 3
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 : 4
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 : 5
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
Question : 6
A and B undertook to do a piece of work for Rs.4500. A alone could do it in 8 days and B alone in 12 days. With the assistance of C they finished the work in 4 days. Then C’s share of the money is
a) Rs.2250
b) Rs.1500
c) Rs.375
d) Rs.750
Answer »Answer: (d)
Using Rule 25If A, B and C finish the work in m, n and p days respectively and they receive the total wages R, then the ratio of their wages is $1/m : 1/n : 1/p$
C’s 1 day’s work
= $1/4 - (1/8 + 1/12) = 1/4 - ({3 + 2}/24)$
= $1/4 - 5/24 = {6 - 5}/24 = 1/24$
A : B : C = $1/8 : 1/12 : 1/24$ = 3 : 2 : 1
C’s share = Rs.$(1/6 × 4500)$ = Rs.750
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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