Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
63 views
in Aptitude by (113k points)
closed by

M is thrice as efficient as N and N is twice as efficient as O. If O alone can complete a piece of work in 25 days, find the time taken by the three of them to complete the piece of work together. 


1. 20/7 days
2. 25/9 days
3. 50/6 days
4. 20/9 days

1 Answer

0 votes
by (114k points)
selected by
 
Best answer
Correct Answer - Option 2 : 25/9 days

Given:                                 

M is thrice as efficient as N and N is twice as efficient as O.

O alone can complete a piece of work in 25 days.

Concepts used:

Time = Work/Efficiency

1 day work of individual = Work/Time

Calculation:

O alone can complete a piece of work in 25 days.

1 day work of O = 1/25

⇒ The efficiency of O = 1/25

⇒ The efficiency of N = 2 × 1/25 

⇒ Efficiency of M = 3 × 2/25 = 6/25

⇒ 1 day work or combined efficiency of M, N and O = (1/25) + (2/25) + (6/25) = 9/25

⇒ Time taken by M, N and O in completing a full piece of work = 25/9 days

∴ M, N and O took 25/9 days to complete the full piece of work.

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

...