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
53 views
in Aptitude by (101k points)
closed by
A and B can finish a work in 6 days and 8 days respectively. They start the work after 2 days C joins them and the work is finished in total 3 days. Find the time C will take to finish the entire work alone?
1. 8
2. 7
3. 6
4. 9

1 Answer

0 votes
by (102k points)
selected by
 
Best answer
Correct Answer - Option 1 : 8

Given:

A and B can finish a work in 6 days and 8 days respectively. They start the work after 2 days C joins them and the work is finished in total 3 days.

Formula:

If A and B can together finish it in t days with A and B finishing the work in a and b days respectively,

1/a + 1/b = 1/t

Calculation:

total work will be 24 units.

A’s efficiency = 24/6 = 4

B’s efficiency = 24/8 = 3

Let the efficiency of C be c

ATQ,

7 × 2 + (7 + c) × 1= 24

⇒ 14 + 7 + c = 24

⇒ 21 + c = 24

⇒ c = 24 - 21 = 3

Time taken by C = 24/3 = 8 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

...