SOLUTION: 8) One recruit can complete a certain assignment in 40 min; another recruit can complete the same assignment in one hour. How long would it take to complete the assignment if the t

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Question 417588: 8) One recruit can complete a certain assignment in 40 min; another recruit can complete the same assignment in one hour. How long would it take to complete the assignment if the two recruits worked together
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
One recruit can complete a certain assignment in 40 min; another recruit can complete the same assignment in one hour. How long would it take to complete the assignment if the two recruits worked together
.
Let x = time(minutes) it takes for both
then
x(1/40 + 1/60) = 1
multiplying both sides by (40)(60):
x(60 + 40) = (40)(60)
100x = (40)(60)
x = (40)(60)/100
x = 2400/100
x = 24 minutes