Question

Question:
A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is
the work done?
Choose one
B. 14 days
A. 15 days
C. 13 days
D. 11 days​

Answer 1

Here You want to take the HCF of these days

As C left 4 days before u should take 40-4 = 36

HCF of 24,30,36

You will get the answer as ⁶

Answer 2

Step-by-step explanation:

1. option D is correct A =24 days , B= 30 days , C=40 days ,[LCM= 120] one day they can produce 12 units of work ,. total work =120 units ,. however 4 days before completion c leaves which means a plus b work for 4 days alone producing 9 units per day 6 units. therefore work completed by A-B-C[120 -36] 84 units A+B+C work for 7 days producing 84 units and a + b work for 4 days producing 36 units total 7 + 4 = 11 days therefore the answer is 11