Amar, Bhavan and Chetan can complete a job in 24 days, 36 days, and 48 days, respectively. Amar, Bhavan and Chetan started it. After 6 days, Amar left. The order tow continued to work. Bhavanleft 15 days the comletion work. Bhava left 15 days, before the completeion of the job. Chetan comlete the remaining work. Find the total time teaken to complet the job . ( in days)

Options

A. 21
B. 24
C. 27
D. 30

Answer

B

Explanation

Amar worked for 6 days.
Bhavan woked for (t-15) days
Chetan worked for t days,
`Job=6((1)/(24))+(t-15)((1)/(36))+t((1)/(48))=1`
`(1)/(4)+t((1)/(36)+(1)/(48))-(5)/(12)=1`
`(7t)/(144)=(7)/(6)`
`t=24`