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
37 views
in Aptitude by (30.0k points)
closed by

A is 30% more efficient than B and C is 20% more efficient than B. Working together, they can finish a work in 5 days. In how many days will A alone complete 3/5th of the total work?


1. 90/13 days
2. 105/13 days
3. 100/13 days
4. 110/13 days

1 Answer

0 votes
by (30.0k points)
selected by
 
Best answer
Correct Answer - Option 2 : 105/13 days

Given:

A is 30% more efficient than B.

C is 20% more efficient than B.

Concept used:

Total Work = Efficiency × Time

Calculation:

Let the efficiency of B be 100.

Efficiency ratio,

A ∶ B = 130 ∶ 100      ---(1)

B ∶ C = 100 ∶ 120      ---(2)

From equation (1) and (2), we get

A ∶ B ∶ C = 130 ∶ 100 ∶ 120

A ∶ B ∶ C = 13 ∶ 10 ∶ 12

Total Work = Efficiency × Time

Total Work = (13 + 10 + 12) × 5 = 35 × 5 = 175

TimeA = [3/4th of the total work]/Efficiency of A

TimeA = {(3/5) × 175}/13

TimeA = 105/13 day

∴ 'A' alone complete 3/5th of the total work in 105/13 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

...