Question

A ,B and C working together can plough the field in 4 4/5 days .A and C together can do it in 8 days .how long would B working alone take to plough the field ?

Answer 1

Answer:

Let the number of days B working alone would take to plough the field be 'x' days.

So, in 1 day B would finish 1/x  part of the work.

A and C together can do it in 8 days,

So, in 1 day, A and C together would finish 1/8th part of the work.

Now, A,B and C working together can plough a field in 4(4/5)=24/5 days.

So, in 1 day A,B and C together would finish 5/24th of work.

1/x + 1/8 = 5/24

=>1/x = 5/24 - 1/8 = 2/24 = 1/12

=> x = 12 .

Thus, B working alone would take 12 days to plough the field.

Hope it helps u ..