A takes three times as long B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is :
A takes three times as long B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is :
[A]90 days
[B]95 days
[C]96 days
[D]100 days
96 days
Let time taken by B and C = x days
∴ Time taken by A = 3x days
∴ Part of work done by A, B and C in 1 day
∴ Time taken by A = 32 
Hence option [C] is correct answer.
