Topics

General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature

A can do a piece of work in 4 days and B can complete the same work in 12 days. What is the number of days required to do the same work together?

A) 2 days
B) 3 days
C) 4 days
D) 5 days

Correct Answer:


B) 3 days

Description for Correct answer:

A's 1 day's work = 1/ 4

B's 1 day's work= 1/12

(A + B)'s s 1 day's work = \( \Large\frac{1}{4} + \frac{1}{12} \)

\( \Large\frac{3 +1}{12} = \frac{4}{12} = \frac{1}{3} \)

Days required by A and B together to do the work

= 1 / (A + B)'s 1 day's work = 3 days

Part of solved Time and work questions and answers : >> Aptitude >> Time and work

Comments

Similar Questions

1). A can do a piece of work in 8 days, B can do it in 10 days and C can do it in 20 days. In how many days can A, B and C together complete the work?

A). 3-7 days 11

B). 11 days

C). 3A days 11

D). 3-9 days 11

2). A and B can do a piece of work in 72 days. B and C can do it in 120 days. A and C can do it in 90 days. In what time can A alone do it?

A). 80 days

B). 100 days

C). 120 days

D). 150 days

3). A and B can do a piece of work in 10 h, B and C can do it in 15 h, while A and C take 12 h to complete the work. B independently can complete the work in

A). 12 h

B). 16 h

C). 20 h

D). 24 h

4). A can do a piece of work in 10 days and B in 20 days. They begin together but A leaves 2 days before the completion of the work. The whole work will be done in

A). 8 days

B). 7 days

C). 7(2/3) days

D). 6 days

5). A and B together can complete a work in 3 days. They started together but after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in how many days?

A). 5

B). 6

C). 7

D). 10

6). A and B can complete a job in 24 days working together. A alone can complete it in 32 days. Both of them worked together for 8 days and then A left. The number of days B will take to complete the remaining job is

A). 16

B). 32

C). 64

D). 128

7). Ajay can do a piece of work in 25 days and Sanjay can finish it in 20 days. They work together for 5 days and then Ajay goes away. In how many days will Sanjay finish the remaining work?

A). 11 days

B). 14 days

C). 12 days

D). None of these

8). 10 men can make a wall in 8 days. How many men required to complete the same work in half day ?

A). 80

B). 100

C). 120

D). 160

9). 6 boys can complete a piece of work in 16 h. In how many hours will 8 boys complete the same work?

A). 10

B). 8

C). 12

D). 14

10). In a hostel, there are 120 students and food stock is for 45 days. If 30 new students join the hostel, in how many days will the complete stock be exhausted?

A). 38

B). 40

C). 32

D). 36