Model 7 Working with individual wages 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) 50
(b) 40
(c) 48
(d) 56
The correct answers to the above question in:
Answer: (d)
Using Rule 1,
Remaining work = $1 - 2/3 = 1/3$ ;
Remaining days = 124–64= 60
${M_1D_1}/W_1 = {M_2D_2}/W_2$
${120 × 64}/{2/3} = {M_2 × 60}/{1/3}$
$M_2 = {120 × 64}/{2 × 60}$ = 64
No. of men can be discharged
= 120 - 64 = 56 men
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Read more working with individual wages Based Quantitative Aptitude Questions and Answers
Question : 1
If p men working p hours per day for p days produce p units of work, then the units of work produced by n men working n hours a day for n days is
a) $n^3/p^2$
b) $n^2/p^2$
c) $p^2/n^2$
d) $p^3/n^2$
Answer »Answer: (a)
Since, P men working P hours/ day for P days produce P units of work.
1 man working 1 hour/day for 1 day produce
$P/P^3 =1/P^2$ units of work
n men working n hours a day for n day’s produce $n^3/P^2$ units of work
Using Rule 1,
Here, $M_1 = p, D_1 = p, T_1 =p,W_1$ = p
$M_2 = n, D_2 = n, T_2 = n, W_2$ = ?
$M_1D_1T_1W_2 = M_2D_2T_2W_1$
p × p × p × $w_2$ = n × n × n × p
$w_2 = n^3/p^2$
Question : 2
30 men can repair a road in 18 days. They are joined by 6 more workers. Now the road can be repaired in
a) 17 days
b) 16 days
c) 14 days
d) 15 days
Answer »Answer: (d)
Using Rule 1,
$M_1D_1 = M_2D_2$
30 × 18 = 36 × $D_2$
$D_2 = {30 × 18}/36$ = 15 days
Question : 3
One man, 3 women and 4 boys can do a piece of work in 96 hours, 2 men and 8 boys can do it in 80 hours, 2 men and 3 women can do it in 120 hours. 5 men and 12 boys can do it in
a) 44 hours
b) 43$7/11$ hours
c) 39$1/11$ hours
d) 42$7/11$ hours
Answer »Answer: (b)
Using Rule 1,
1 hour’s work of 1 man and 4 boys = $1/160$
[Since,2 men and 8 boys can do the work in 80 hrs.]
1 hour’s work of 1 man 3 women and 4 boys = $1/96$
1 hour’s work of 3 women
= $1/96 - 1/160 = {10 - 6}/960 = 1/240$
1 hour’s work of 2 men
= $1/120 - 1/240 = 1/240$
1 hour’s work of 4 boys
= $1/160 - 1/480$
= ${3 - 1}/480 = 1/240$
2 men = 3 women = 4 boys
2 men + 8 boys = 12 boys
5 men + 12 boys = 22 boys
By $M_1D_1 = M_2D_2$
12 × 80 = 22 × $D_2$
$D_2 = {12 × 80}/22 = 480/11 = 43{7}/11$ hours
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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