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

Questions : Three persons undertake to complete a piece of work for Rs.1,200. The first person can complete the work in 8 days, second person in 12 days and third person in 16 days. They complete the work with the help of a fourth person in 3 days. What does the fourth person get?

(a) Rs.180

(b) Rs.200

(c) Rs.250

(d) Rs.225

The correct answers to the above question in:

Answer: (d)

Rule 3 and Rule 25,

If the fourth person completes the work in x days, then

$3/8 + 3/12 + 3/16 + 3/x = 1$

$1/x = 1/3 - 1/8 - 1/12 - 1/16$

= ${16 - 6 - 4 - 3}/48 = 1/16$ ⇒ x = 16

Ratio of wages

= $1/8 : 1/12 : 1/16 : 1/16$

= 6 : 4 : 3 : 3

Sum of ratios = 6 + 4 + 3+3 = 16

Fourth person’s share

= $3/16 × 1200$ = Rs.225

Practice time & work (Model 2 Formula method ‘M1D1W1 = M2D2W2’) Online Quiz

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Read more formula method m1d1w1 m2d2w2 Based Quantitative Aptitude Questions and Answers

Question : 1

A labourer was appointed by a contractor on the condition that he would be paid Rs.75 for each day of his work but would be fined at the rate of Rs.15 per day for his absence, apart from losing his wages, After 20 days, the contractor paid the labourer Rs.1140. The number of days the labourer abstained from work was

a) 3

b) 5

c) 2

d) 4

Answer: (d)

Total salary for 20 days

= Rs.(75 × 20) = Rs.1500

Actual salary received = Rs.1140

Difference = Rs.(1500 - 1140) = Rs.360

Money deducted for 1 day’s absence from work

=Rs.(15 + 75) = Rs.90

Number of days he was absent

= $360/90 = 4$ days

Question : 2

2 men and 1 woman can complete a piece of work in 14 days while 4 women and 2 men can do the same work in 8 days. If a man gets Rs. 180 per day, then a woman will get per day

a) Rs.150

b) Rs.140

c) Rs.160

d) Rs.120

Answer: (d)

(2 men + 1 woman)’s 14 days’ work

≡ (4 women + 2 men)’s 8 days’ work

28 men + 14 women

≡ 32 women + 16 men

(28 - 16) = 12 men

≡ (32 - 14) = 18 women

2 men ≡ 3 women

1 woman ≡ $2/3$ man

Since, Wages per day of 1 man = Rs. 180

Wages per day of 1 woman

= $2/3$ × 180 = Rs. 120

Question : 3

If a man earns Rs.2000 for his first 50 hours of work in a week and is then paid one and a half times his regular hourly rate for any additional hours, then the hours must he work to make Rs.2300 in a week is

a) 6 hours

b) 4 hours

c) 5 hours

d) 7 hours

Answer: (c)

Earning in the first one hour

= $2000/50$ = Rs.40

Earnings for additional 5 hours

= 40 × $3/2$ × 5 = Rs.300

Question : 4

A and B were assigned to do a job for an amount of Rs.1,200. A alone can do it in 15 days, while B can do it in 12 days. With the help of C, they can finish in 5 days. The share of amount that C earns is

a) Rs.300

b) Rs.400

c) Rs.600

d) Rs.500

Answer: (a)

Using Rule 25,

According to the question,

$1/15 + 1/12 + 1/C = 1/5$

Let C's work in day be $1/C$

$1/C = 1/5 - 1/15 - 1/12$

= ${12 - 4 - 5}/60 = 1/20$

A : B : C = $1/15 : 1/12 : 1/20$ = 4 : 5 : 3

C’s share= $3/12 × 1200$ = Rs.300

Question : 5

If there is a reduction in the number of workers in a factory in the ratio 15 : 11 and an increment in their wages in the ratio 22 : 25, then the ratio by which the total wages of the workers should be decreased is

a) 6 : 5

b) 5 : 6

c) 3 :5

d) 3 : 7

Answer: (a)

Using Rule 25,

Required ratio

= 15 × 22 : 11 × 25 = 6 : 5

Question : 6

A, B and C completed a work costing Rs.1,800. A worked for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio of 5 : 6 : 4, how much amount will be received by A?

a) Rs.800

b) Rs.600

c) Rs.750

d) Rs.900

Answer: (b)

Using Rule 25,

Ratio of wages of A, B and C respectively

= 5 × 6 : 6 × 4 : 4 × 9

= 30 : 24 : 36 = 5 : 4 : 6

Amount received by A

= $5/{5 + 4 + 6} × 1800$

= $5/15 × 1800$ = Rs.600

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