Question

12. A, B and C can do a piece of work in 12, 24 and
48 days respectively. They started the work together
but B left 3 days before and C left 2 days before the
completion of work. In how many days was the total
work completed?
(1) 6 (2) 8 (3) 7 (4) 9 (5) 10​

Answer 1

Answer:

option(2) 8 is correct

Step-by-step explanation:

ONE DAY'S WORK OF A,B AND C IS :

1/12,1/24 AND 1/48

let work was completed in x days

Thus B worked for x-3 days

C for x-2 days and A worked for x days

So (x-3)/24+(x-2)/48 +x/12=1

2x-6+x-2+4x=48

7x=56

x=8

Thus work was completed in 8 days

So option(2) 8 is correcvt