Question

Three men A, B and C working together can do a job in 6 hours less time than A alone, in 1 hour less time than B alone and in one half the time needed by C when working alone. Then A and B together can do the job in : 

(a) 2/3 hours 

(b) 2/3 hours 

(c) 3/2 hours 

(d) 4/3 hours

Answer 1

Correct option (d) 4/3 hours

Explanation:

(Let x is total time taken by A+B+C)

Alternate:- 

Let (A+B+C)can complete the work in x hours. 

Time taken by A = (x+6)hours B = (x+1) hours C = 2x hours 

According to the question,