SOLUTION: if one person can complete a task in 2h and another person can complete the same task in 3h, will it take more or less than 2h to complete the task when both people are working?

Question 890685: if one person can complete a task in 2h and another person can complete the same task in 3h, will it take more or less than 2h to complete the task when both people are working?
Found 2 solutions by richwmiller, lwsshak3:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
it will be a little less than 2 hours.
1/2+1/3=1/x
3/6+2/6=1/x
5/6=1/x
6/5=x
1.2= x

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
if one person can complete a task in 2h and another person can complete the same task in 3h, will it take more or less than 2h to complete the task when both people are working?
***
sum of individual work rates=work rate working together
1/2+1/3=1/x
3/6++2/6=1/x
5/6=1/x
x=6/5
it will take less than 2h to complete the task when both people are working
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