X and Y can do a piece of work in 20 days and 12 days respectively. X started th

Question

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

Options:

A . 6 days

B . 10 days

C . 15 days

D . 20 days

Answer: Option B

Work done by X in 4 days = \(\left(\frac{1}{20}\times4\right)=\frac{1}{5}\)

Remaining work = \(\left(1-\frac{1}{5}\right) =\frac{4}{5}\)

(X + Y)'s 1 day's work = \(\left(\frac{1}{20}+\frac{1}{12}\right)=\frac{8}{60}=\frac{2}{15}
\)

Now, \(\frac{2}{15}
\) work is done by X and Y in 1 day.

So, \(\frac{4}{5}\) work will be done by X and Y in \(\left(\frac{15}{2}\times\frac{4}{5}\right)= 6 days.\)

Hence, total time taken = (6 + 4) days = 10 days.

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could ha....job which A alone could have done in 23 days?

Question 2. 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 3. 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 4. 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 5. 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 6. 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 7. 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 8. 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 9. 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 10. 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 :

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

Submit Solution

More Questions on This Topic :

Latest Videos

Latest Test Papers