A,B and C working together can plough a field in 24/5 days .A and C together can do it in 8 days .How long would B working alone take to plough the field?
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Answered by
69
Answer: 12
Step-by-step explanation:
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.
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