Question

Three persons A, B and C working together can plough a field in 10 days. The persons
A and C together can do it in 16 days. If A alone can do it in 24 days, how long would A
and B working together take to plough the field?
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Answer 1

Answer:

18 days ........................

Answer 2

Answer:

12

stap by stap :

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

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 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.