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Problems on Time and Work

Home > Quantitative Aptitude > Time and Work > General Questions
NA
SHSTTON
20
Solv. Corr.
21
Solv. In. Corr.
41
Attempted
0 M:24 S
Avg. Time

91 / 100

Choose the correct option.

A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work In :


A4 days

B6 days

C8 days

D18 days

Answer: Option A

Explanation:

Solution: If B can complete a work in 12 days then Acc. to the question A can do it in 6 days



So 1 day work of both A and B are 1/6 and 1/12 respectively



hence Both working together in 1 day can complete 1/6 1/12= 1/4 part of the work so the complete work can be done in 4 days.

Workspace

NA
SHSTTON
48
Solv. Corr.
73
Solv. In. Corr.
121
Attempted
5 M:13 S
Avg. Time

92 / 100

Choose the correct option.

A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?


A7

B8

C11

D12

Answer: Option C

Explanation:

Work done by Mr.Brown in 1 day = 1/6  Work done by Mr Black in 1 day= 1/8  Work done by Mr blue in 1 day= 1/12



Hence Acc to the question: 1/6*8  1/8*6 x*1/12= 3  ( 3 because complete work is to paint 3 houses).



Solving this we get x= 11

Workspace

NA
SHSTTON
20
Solv. Corr.
18
Solv. In. Corr.
38
Attempted
1 M:34 S
Avg. Time

93 / 100

Choose the correct option.

A is twice as good a workman as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work


A7 days

B21 days

C27 days

DNone of these

Answer: Option C

Explanation:

assume B completes 1unit of work per day.
=>A completes 2 units per day
=>both A and B complete 3 units per day
=>total units of work=3u*18=54 units
=> ANS :no of days for A alone=54/2 = 27 days

Workspace

NA
SHSTTON
24
Solv. Corr.
16
Solv. In. Corr.
40
Attempted
1 M:1 S
Avg. Time

94 / 100

Choose the correct option.

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days A alone can finish the remaining work?


A7

B6

C5

D10

Answer: Option B

Explanation:

Solution:  B's one day work is 1/15 so in 10 days he will do 10/15th part of the work



Remaining work left= 1-2/3 i.e = 1/3 



Now A can 1 work in 18 days 



So 1/3rd work can be done in 1/3*18= 6 days.

Workspace

NA
SHSTTON
17
Solv. Corr.
45
Solv. In. Corr.
62
Attempted
3 M:2 S
Avg. Time

95 / 100

Choose the correct option.

Two boys and a girl can do a work in 5 days, while a boy and 2 girls can do it in 6 days. if the boy is paid at the rate of $28 a week. What should be the wages of the girls?


A$12

B$16

C$23

D$17

ENone of these

Answer: Option B

Explanation:

2b+1g=1/5=>10b+5g=1---------(1)
1b+2g=1/6=>6b+12g=1---------(2)
from (1)&(2)
10b+5g=6b+12g
4b=7g
b:g=7:4
but above ratio is reverse b:g=4:7
wages of the girls=(4*28)/7
=4*4=16

Workspace

NA
SHSTTON
13
Solv. Corr.
35
Solv. In. Corr.
48
Attempted
1 M:53 S
Avg. Time

96 / 100

Choose the correct option.

A man engaged a servant on a condition that he will pay Rs 90 and also give him a bag at the end of the year . He worked for 9 months and was paid Rs 55 and a turban. So the price of the turban is?


A10

B29

C11

DNone of these

Answer: Option A

Explanation:

12*x=90+y
9*x=45+y
By, Solving the above equation
y= 10

Workspace

NA
SHSTTON
18
Solv. Corr.
39
Solv. In. Corr.
57
Attempted
2 M:24 S
Avg. Time

97 / 100

Choose the correct option.

If A alone does the work in 15 days,how much time will A and B take working together to complete the job,given that A is 30% more efficient than B?


A234/69

B585/69

C69

D585

ENone of these

Answer: Option B

Explanation:

Ratio of times taken by A and B = 100 : 130
assume B takes x days to do the work.
So, 100:130::15:x
=> x=130*15/100=39/2.
B's 1 day's work=2/39
and A's 1 day's work=1/15
(A+B)'s 1 day's work=69/585
A & B together can complete the work in 585/69 days..

Workspace

NA
SHSTTON
15
Solv. Corr.
20
Solv. In. Corr.
35
Attempted
0 M:0 S
Avg. Time

98 / 100

Choose the correct option.

Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration. I f this amount is shared by them in proportion to their work, then Kamal's share, in rupees, is


A100

B200

C300

D400

Answer: Option A

Explanation:

A one day work=1/10



B one day work=1/8



(A B C) one day work=1/4



 C one day work=1/4-(1/10 1/8)



             =1/40



one days work ratio=A:B:C=1/10:1/8:1/40



                      =4:5:1



C share=1/10*1000=100



 

Workspace

NA
SHSTTON
10
Solv. Corr.
24
Solv. In. Corr.
34
Attempted
1 M:10 S
Avg. Time

99 / 100

Choose the correct option.

A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days. On Day 3, they are joined by another person of equal efficiency. Like this, everyday a new person with the same efficiency joins the work. How many days are required to complete the job?


A17

B13

C15

D34

Answer: Option C

Explanation:

one day work=1/120

2nd day work=2/120

total work

1/120+2/120+•••••••+n/120=1

1/120[1+2+3••••+n]=1

1/120[n(n+1)]/2=1

n^2+n=240

n^2+n-240=0

n=-16,15

so, n=15


Workspace

NA
SHSTTON
2
Solv. Corr.
6
Solv. In. Corr.
8
Attempted
7 M:56 S
Avg. Time

100 / 100

Choose the correct option.

Abhishek starts to paint a fence on one day. On the second day, two more friends of Abhishek join him. On the third day 3 more friends of him join him and so on. If the fence is completely painted this way in exactly 20 days, then find the number of days in which 10 girls painting together can paint the fence completely, given that every girl can paint twice as fast as Abhishek and his friends (Boys)? (Assume that the friends of Abhishek are all boys).


A20

B40

C45

D77

Answer: Option D

Explanation:

Number of men working on first day = 1 Number of men working on second day = 3
Number of men working on second day = 6 and so on.. Total number of boys till the end of the work = [n(n + 1) (n + 2)] / 6
= [20 x 21 x 22] / 6 = 1540
Given that every girl paints twice as fast as Abhishek's friends.
Hence, 20 girls work is being done.
Thus, the number of days taken to paint the fence = 1540/20 = 77.

Workspace

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