Question

A takes three times as long as 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) 100 

(b) 96 

(c) 95 

(d) 90 

Answer 1

Correct option (b) 96

Explanation: 

Correct option Explanation: 

Since we know, efficiency of a person’s will know, efficiency of a person’s will remain same. So we will balance it.

A’s efficiency : 5 units

B’s efficiency : 4 units

Total efficiency : 20 units

So, C’s efficiency 20 – 5 – 4 = 11 units

Total work = 24_days × 20_units/day

⇒480 units.

A alone will do whole work in 480/5 = 96 days