LIVE Course for free

Rated by 1 million+ students
Get app now
JEE MAIN 2023
JEE MAIN 2023 TEST SERIES
NEET 2023 TEST SERIES
NEET 2023
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
25 views
in Aptitude by (111k points)
closed by
A can do a piece of work in 12 days. B is 20% more efficient than A. If C also works with A and B then together they finish the work in 4 days. In how many days will C finish the work alone?
1. 10 days
2. 12 days
3. 15 days
4. 18 days

1 Answer

0 votes
by (45.3k points)
selected by
 
Best answer
Correct Answer - Option 3 : 15 days

Given:

A alone can do the work in = 12 days

B's efficiency = 20% more than A's efficiency

A, B and C together finish the work in = 4 days

Concept used:

Total work = Efficiency × Number of days to finish the work

Calculations:

Let C's 1 day work be 1/C

A's 1 day work = 1/12

B's 1 day work = (120/100) × (1/12) = 1/10

(A + B + C)'s 1 day work = 1/4

⇒ (1/12) + (1/10) + (1/C) = 1/4

⇒ (11/60) + (1/C) = 15/60

⇒ 1/C = (15 – 11)/60

⇒ 1/C = 4/60

⇒ 1/C = 1/15

∴ C alone can finish the whole work in 15 days

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...