Find the total number of working days

Question

To complete a job alone,A needs 12 days,B needs 18 days and C needs 24 days.Now,the job is carried out by A first for several days,and then by B for several days,and finally completed by C.The ratios of their working days are A:B=1:3 and B:C=1:2.Find the total number of working days for completing the job.

Answer 1

A:B = 1:3, B:C = 1:2

A:B = 1:3, B:C = 3:6

A:B:C = 1:3:6

 

1x/12 + 3x/18 + 6x/24 = 1

 

Can you solve for x and answer?