A B and C can alone complete a work in 10 12 and 15 days respectively A and C started the work and a...........

Quantitative Aptitude ( CCS) Time and work

A, B and C can alone complete a work in 10, 12 and 15 days respectively. A and C started the work and after working for 4 days, A left and B joined. In how many days the total work was completed?

6( 5/9) days

6( 2/9 )days

6 days

5 (4/9) days

छोटे Courses बड़े Results

Master Time and work

Prepare through Micro-courses

Try Now

Explanation:

Answer & Explanation
6 2/9 days
Explanation:
(A+C) = (1/10 + 1/15) = 1/6. They worked for 4 days so did (1/6)*4 = 2/3rd of work
Remaining work = 1 – 2/3 = 1/3
Now A left , B and C working
(B+C) = (1/12 + 1/15) = 9/60 = 3/20. They worked for x days and completed 1/3rd of work so (3/20)*x = 1/3, so x = 20/9 days
Total = 4 + 20/9

Report error

Submit Error