Model 7 Working with individual wages Section-Wise Topic Notes With Detailed Explanation And Example Questions

Answer: (a)

Using Rule 1,

${M_1D_1}/W_1 = {M_2D_2}/W_2$

${110 × 48}/{3/5} = {M_2 × 44}/{2/5}$

$M_2$ × 44 × 3 = 110 × 48 × 2

$M_2 = {110 × 48 × 2}/{44 × 3}$ = 80

Number of men can be withdrawn

= 110 - 80 = 30

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

Answer: (d)

Using Rule 1,

$M_1D_1 = M_2D_2$

30 × 18 = 36 × $D_2$

$D_2 = {30 × 18}/36$ = 15 days

Answer: (c)

Using Rule 1,

7 men ≡ 10 women

or 1 man = $10/7$ women

14 men + 20 women

= $({10 × 14}/7 + 20)$ women = 40 women

Now, more work, more days

More women, less days

∴ ${Work - {1 : 6}}/{Women - {40 : 10}}]$ : : 10 : x

Where x = number of days

1 × 40 × x = 6 × 10 × 10

or $x = 600/40$ = 15

Answer: (a)

Using Rule 1,

∴ ${4 : 8}/{4 : 8}]$ : : 4 : x

where, x is no. of mats

4 × 4 × x = 8 × 8 × 4

$x = {8 × 8 × 4}/{4 × 4}$ = 16

Answer: (a)

Using Rule 1,

${M_1D_1}/W_1 = {M_2D_2}/W_2$

${M × 12}/W = {2M × D_2}/{W/2}$

${M × 12}/W = {4MD_2}/W$

$D_2$ = 3 days