A is 30% more efficient than B. How much time will they, working together, take

Question

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

Options:

A . 11 days

B . 13 days

C . \(20\frac{3}{17}days\)

D . None of these

Answer: Option B

Ratio of times taken by A and B = 100 : 130 = 10 : 13.

Suppose B takes x days to do the work.

Then, 10 : 13 :: 23 : x \(\Rightarrow\left(\frac{23\times13}{10}\right) \Rightarrow x=\frac{299}{10}\)

A's 1 day's work = \(\frac{1}{23}\)

B's 1 day's work = \(\frac{10}{299}\)

(A + B)'s 1 day's work = \(\left(\frac{1}{23}+\frac{10}{299}\right)=\frac{23}{299}=\frac{1}{13}\)

Therefore, A and B together can complete the work in 13 days.

Was this answer helpful ?

Next Question

More Questions on This Topic :

Question 1. Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hour....two different computers to type an assignment of 110 pages?

Question 2. A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same....respectively. Working together, they will complete the same work in:

Question 3. Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to ....by Tanya to do the same piece of work is:

Question 4. A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish....in 2 days. B can do the work alone in:

Question 5. A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B....the remaining work. The whole work was completed in :

Question 6. A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They al....many days more will A take to finish the work?

Question 7. 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 t....A and B can together finish the work in :

Question 8. Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio be....ratio between the capacity of a man and a woman?

Question 9. A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A....days. A and C together will do it in :

Question 10. A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 day....3 days. The remaining work was done by A in:

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0