All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
UPSC Exam  >  UPSC Questions  >  A, B and C together can complete a piece of w... Start Learning for Free
SaveJoin the Discussion on the App
A, B and C together can complete a piece of work in 10 days. All the three started working at it together and after 4 days, A left. Then, B and C together completed the work in 10 more days. A alone could complete the work in working
  • a)
    15 days
  • b)
    16 days
  • c)
    25 days
  • d)
    50 days
Correct answer is option 'C'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
Verified Answer
A, B and C together can complete a piece of work in 10 days. All the t...
(A + B + C)'s one day work = 1 10
⇒ 4 day's work = 4 10 = 2 5 th
⇒ Remaining work = 3 5 th
B + C complete 3 5 th work in 10 days
= 50 3 days (i.e. 5 3 � 10)
Now,
1 10 - 3 50 = 1 25
Hence, A could complete the work alone in 25 days
View all questions of this test
Most Upvoted Answer
A, B and C together can complete a piece of work in 10 days. All the t...
Given Data:
A, B, and C together can complete a piece of work in 10 days.
After 4 days, A left and B and C completed the work in 10 more days.
A alone could complete the work in x days.

Let's solve the problem step by step:

Step 1: Find the rate of work of A, B, and C together
Let the work be 1 unit.
A, B, and C together complete the work in 10 days, so their combined rate of work = 1/10 units per day.

Step 2: Find the work done by A, B, and C in 4 days
In 4 days, A, B, and C together would have completed 4*(1/10) = 2/5 of the work.

Step 3: Find the work remaining after 4 days
Since A left after 4 days, the remaining work = 1 - 2/5 = 3/5.

Step 4: Find the work done by B and C in 10 days
B and C together complete the remaining work in 10 days, so their combined rate of work = (3/5)/10 = 3/50 units per day.

Step 5: Find the work done by B and C in total
In 10 days, B and C together would have completed 10*(3/50) = 3/5 of the work.

Step 6: Find the work done by B and C after A left
Since A left after 4 days, the work done by B and C after A left = 3/5 - 2/5 = 1/5.

Step 7: Find the work done by B and C in 10 days after A left
Since B and C together complete the work in 10 more days after A left, the work done by B and C in 10 days = 1/5.

Step 8: Find the work done by B and C in 1 day after A left
Therefore, B and C's combined rate of work after A left = 1/10 units per day.

Step 9: Find the work done by B and C in total
In 10 days, B and C together would have completed 10*(1/10) = 1 unit of work.
Therefore, A alone could complete the work in 10 days.
< Previous Question Next Question >
Explore Courses for UPSC exam

Similar UPSC Doubts

Locomotive engines are manufactured in a factory at Rampur. The process of manufacturing an engine involves 10 different activities - Activity 1 to Activity 10. Some of these 10 activities cannot be started until other activities have been completed. For example Activity 3 cannot begin until Activity 2 has been completed and Activity 4 cannot begin until both Activities 1 and 2 are completed. The table below shows the minimum time required to complete each activity and the list of activities which must be completed before a particular activity can be started. The manufacturing process of an engine is said to be finished if at least one of activities A9 and A10 is completed.Each activity can be undertaken by only one person at a time and one person can work on only one activity at a time.Q. What is the minimum possible number of days in which any individual can finish manufacturing an engine working alone, if both A9 and A10 are to be completed?

Top Courses for UPSCView all

Top Courses for UPSC

A, B and C together can complete a piece of work in 10 days. All the three started working at it together and after 4 days, A left. Then, B and C together completed the work in 10 more days. A alone could complete the work in workinga) 15 days b) 16 days c) 25 days d) 50 days Correct answer is option 'C'. Can you explain this answer?
Question Description
A, B and C together can complete a piece of work in 10 days. All the three started working at it together and after 4 days, A left. Then, B and C together completed the work in 10 more days. A alone could complete the work in workinga) 15 days b) 16 days c) 25 days d) 50 days Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A, B and C together can complete a piece of work in 10 days. All the three started working at it together and after 4 days, A left. Then, B and C together completed the work in 10 more days. A alone could complete the work in workinga) 15 days b) 16 days c) 25 days d) 50 days Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C together can complete a piece of work in 10 days. All the three started working at it together and after 4 days, A left. Then, B and C together completed the work in 10 more days. A alone could complete the work in workinga) 15 days b) 16 days c) 25 days d) 50 days Correct answer is option 'C'. Can you explain this answer?.
Solutions for A, B and C together can complete a piece of work in 10 days. All the three started working at it together and after 4 days, A left. Then, B and C together completed the work in 10 more days. A alone could complete the work in workinga) 15 days b) 16 days c) 25 days d) 50 days Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of A, B and C together can complete a piece of work in 10 days. All the three started working at it together and after 4 days, A left. Then, B and C together completed the work in 10 more days. A alone could complete the work in workinga) 15 days b) 16 days c) 25 days d) 50 days Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A, B and C together can complete a piece of work in 10 days. All the three started working at it together and after 4 days, A left. Then, B and C together completed the work in 10 more days. A alone could complete the work in workinga) 15 days b) 16 days c) 25 days d) 50 days Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A, B and C together can complete a piece of work in 10 days. All the three started working at it together and after 4 days, A left. Then, B and C together completed the work in 10 more days. A alone could complete the work in workinga) 15 days b) 16 days c) 25 days d) 50 days Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A, B and C together can complete a piece of work in 10 days. All the three started working at it together and after 4 days, A left. Then, B and C together completed the work in 10 more days. A alone could complete the work in workinga) 15 days b) 16 days c) 25 days d) 50 days Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A, B and C together can complete a piece of work in 10 days. All the three started working at it together and after 4 days, A left. Then, B and C together completed the work in 10 more days. A alone could complete the work in workinga) 15 days b) 16 days c) 25 days d) 50 days Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup