Model 7 Working with individual wages Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 7 EXERCISES
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New 299+ Time and Work Aptitude Test On Individual Wages »
The following question based on time & work topic of quantitative aptitude
(a) 30 days
(b) 15 days
(c) 20 days
(d) 5 days
The correct answers to the above question in:
Answer: (d)
4 men ≡ 8 women
1 man ≡ 2 women
6 men + 12 women
≡ 12 women + 12 women ≡ 24 women
$M_1D_1 = M_2D_2$
8 × 15 = 24 × $D_2$
$D_2 = {8 × 15}/24$ = 5 days
Using Rule 12,
Here, A = 4, B = 8, a = 15
$A_1 = 6, B_1$ = 12
Required number of days = ${a(A . B)}/{A_1B + B_1A}$
= ${15(4 × 8)}/{6 × 8 + 12 × 4}$
= ${15 × 32}/96$ = 5 days
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Read more working with individual wages Based Quantitative Aptitude Questions and Answers
Question : 1
3 men and 7 women can do a job in 5 days, while 4 men and 6 women can do it in 4 days. The number of days required for a group of 10 women working together, at the same rate as before, to finish the same job is :
a) 20 days
b) 40 days
c) 30 days
d) 36 days
Answer »Answer: (a)
3 × 5 men + 7 × 5 women
= 4 × 4 men + 6 × 4 women
16 men - 15 men
= 35 women - 24 women
1 man = 11 women
3 men + 7 women = 40 women
$M_1D_1 = M_2D_2$
40 × 5 = 10 × $D_2$
$D_2$ = 20 days
Using Rule 11If $A_1$ men and $B_1$ boys can do a certain work in $D_1$ days, Again, $A_2$ men and $B_2$ boys can do the same work in $D_2$ days, then, $A_3$ men and $B_3$ boys can do the same work inRequired time = ${D_1D_2(A_1B_2 - A_2B_1)}/{D_1(A_1B_3 - A_3B_1) - D_2(A_2B_3 - A_3 B_2)}$ days
Here, $A_1 = 3, B_1 = 7, D_1$ = 5
$A_2 = 4, B_2 = 6, D_2$ = 4
$A_3 = 0, B_3$ = 10
Required days = ${D_1D_2(A_1B_2 - A_2B_1)}/{D_1(A_1B_3 - A_3B_1) - D_2(A_2B_3 - A_3 B_2)}$ days
= ${5 × 4(3 × 6 - 4 × 7)}/{5 × (3 × 10 - 0) - 4(4 × 10 - 0)}$
= ${20 × (-10)}/{150 - 160}$ = 20 days
Question : 2
Working 8 hours a day, Anu can copy a book in 18 days. How many hours a day should she work so as to finish the work in 12 days ?
a) 13 hours
b) 11 hours
c) 12 hours
d) 10 hours
Answer »Answer: (c)
Days | Working hours/day |
18 | 8 |
↑ | ↓ |
12 | x |
$12/18 = 8/x$
where x is hours/days
12x = 18 × 8
$x = {18 × 8}/12$ = 12 hours
Using Rule 1,
Here, $M_1 = 1, D_1 = 18, T_1$ = 8
$M_2 = 1, D_2 = 12, T_2$ = ?
$M_1D_1T_1 = M_2D_2T_2$
1 × 18 × 8 = 1 × 12 × $T_2$
$T_2 = {18 × 8}/12 = 12$ hours
Question : 3
24 men can do a piece of work in 17 days. How many men will be able to do it in 51 days ?
a) 6
b) 12
c) 8
d) 10
Answer »Answer: (c)
$M_1D_1 = M_2D_2$
24 × 17 = $M_2$ × 51
$M_2 = {24 × 17}/51$ = 8 men
Question : 4
If 72 men can build a wall of 280 m length in 21 days, how many men could take 18 days to build a similar type of wall of length 100 m?
a) 28
b) 18
c) 30
d) 10
Answer »Answer: (c)
Using Rule 1,
We know that
$W_1/{M_1D_1} = W_2/{M_2D_2}$
$280/{72 × 21} = 100/{x × 18}$
Where x = number of men
x × 18 × 280 = 100 × 72 × 21
$x = {100 × 72 × 21}/{18 × 280}$ = 30
Question : 5
Two persons can complete a piece of work in 9 days. How many more persons are needed to complete double the work in 12 days?
a) 1
b) 4
c) 3
d) 2
Answer »Answer: (c)
Work | Days | Persons |
1 | 9 | 2 |
↓ | ↑ | ↓ |
2 | 12 | x |
where x = number of persons
∴ ${1 : 2}/{12 : 9}]$ : : 2 : x
1×12 × x = 2 × 9 × 2
$x = {2 × 9 × 2}/12$ = 3
Using Rule 1,
Here, $M_1 = 2, W_1 = 1, D_1$ = 9
$M_2 = ?, W_2 = 2, D_2$ = 12
$M_1D_1W_2 = M_2D_2W_1$
2 × 9 × 2 = $M_2$ × 12 × 1
$M_2 = 36/12$ = 3
Question : 6
7 men can complete a piece of work in 12 days. How many additional men will be required to complete double the work in 8 days ?
a) 7
b) 14
c) 28
d) 21
Answer »Answer: (b)
Work | Days | Men |
1 | 12 | 7 |
↓ | ↑ | ↓ |
2 | 8 | x |
∴ ${1 : 2}/{8 : 12}]$ : : 7 : x
where, x is no. of men
1 × 8 × x = 2 × 12 × 7
$x = {7 × 12 × 2}/8 = 21$
Number of additional men = 21 - 7 = 14
Metod 2 : Using Rule 1,
$M_1D_1W_2 = M_2D_2W_1$
7 × 12 × 2 = $M_2$ × 8 × 1
$M_2 = {7 × 12 × 2}/8 = 21$
No. of additional men = 21 - 7 = 14
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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