3+men+or+5+women+can+do+a+work+in+12+days.+How+long+will+6+men+and+5+women+take+to+do+it?+
Answers
Answer:
4 days
Step-by-step explanation:
3 men can finish the work in 12 days
=> 1 man will take 36 days to finish the work
=> In one day, a man will finish 1/36 of the work .......Eqn 1
5 women can finish the work in 12 days
=> 1 woman will take 60 days to finish the work
=> In one day, a woman will finish 1/60 of the work ...Eqn 2
In one day, 6 men will finish 6*(1/36) of the work ........from Eqn 1
=> In one day, 6 men will finish (1/6) of the work
In one day, 5 women will finish 5*(1/60) of the work ....from Eqn 2
=> In one day, 5 women will finish (1/12) of the work
If 6 men and 5 women work together, the fraction of the work completed in one day will be:
(1/6) + (1/12)
= (2/12) + (1/12)
= (3/12)
= 1/4
Thus,
If 6 men and 5 women work together, they will complete 1/4 of the work in one day.
=> 6 men and 5 women will take 4 days to complete the work
If (1/n) of the work is completed in one day, the full work will get completed in n days.