# Quantitative Aptitude: Time and Work Set 19

1. Person 1 is thrice as good a workman as person 2 and so takes 30 days less than person 2 for doing a job. Calculate the time in which they can do the job together is.
11 1/4
12
11
12 1/2
20
Option A
Let person 1 can finish the whole work in x days.
Person 2 can finish the same work in 3x days.
then 3x-x= 2x= 30
 x= 15 days
 Person 1 can finish the work in 15 days.
 Person 2 can finish in 45 days.
 A+B work = 1/15 + 1/45 = 4/45
 A+B can finish the work in 45/4 = 11 ¼ days

2. 32 men and 24 women together can complete a work in 16 days. 40 men can complete the same work in 32 days.How many days will 32 women can complete the same work ?
10
12
15
20
18
Option D
(32 M + 24 W)* 16= 40 M * 32
= 40M * 16 * 2
32M + 24W = 80M
24W =48M
1W=2M——-1
32W=64M—–2
Now 40 men complete the work in 32 days.
So 64 men complete the same work in 32* 40 / 64 = 20 days.
Hence 32 women complete the same work in 20 days.

3. Four examiners can examine a certain number of answer papers in 10 days by working for 5 a day. for how many hours in a day would 2 examiners have to work in order to examine twice the number of answer papers in 20 days?
10
15
20
25
12
Option A
M1 * D1* H1 / W1 = M2 * D2* H2 / W2
M1 = 4 D1= 10 H1= 5
W1 = 1 M2 =2 D2 = 20
H2 = ? W2= 2
4*10 *5/1 = 2* 20 *H2/2
=>H2= 10h

4. 2 boys and 3 girls together or 4 boys can complete a piece of work in 20 days. 3 boys and 3 girls will complete the same work in how many days?
15
16
17
18
19
Option B
2 boys + 3 girls= 4 boys
=>2 boys = 3 girls
=>3 boys + 3 girls = 5 boys ( 3 girls= 2 boys)
M1D1= M2D2
=>4* 20 = 5 *D2
D2 = 16 days.

5. Varun gets Rs. 700 for every day that the works. If he runs Rs.19600 in a month of 62 days, for how many days did he work?
21
20
23
28
25
Option D
Varun gets Rs.700 for 1 day of work
Amount received by varun for 62 days.
Number of days Varun worked in a month = 19600/ 700 =28 days.

6. Person A and Person B can complete a piece of work in 30days and 20 days respectively. Then contracted to complete the work for Rs. 60,000.The share of Person A in the contracted money will be
24,000
25,000
20,000
19,000
26,000
Option A
Total amount = Rs.60,000
Person A’s 1 day work = 1/30
Person B’s 1 day work =1/20
Ratio = 1/30 : 1/20 = 2:3
Sum of the ratio = 2+3 = 5
Person A’ s share = 2/5 * 60,000 = Rs.24,000

7. There are n number of workers can finish a project work in 15 days. If there are 3 workers could be finished in 5 days less. the original number of workers are:
3
5
7
4
6
Option E
M1M2=M2D2
n*15 = ( n+3) * 10
n=6

8. 84 women can do a piece of work in 36 days. How many women are required to complete the same work in 42 days?
72
36
78
44
67
Option A
84 women – 36 days
1 women–84 * 36 days
Number of women required = 84 * 36/42 = 72 women

9. Person A earns Rs. 250 in 16 days and person B earns Rs.280 in 20 days. what is the ratio of their earnings?
25:112
12:112
120:112
125:112
125:110
Option D
Required ratio = 250/16 : 280/ 20
=5000:4480
=125:112

10. Hasini and her daughter received Rs. 800 as wages for 5 days work. Hasini’s work was three times more efficiency han her daughter. Then what is the daily wage of her daughter?
35
40
45
55
65
Option B
Hasini: daughter = 3:1
daughter share = ¼ * 800 = Rs.200
So daily wage = 200/ 5 = Rs.40