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)   (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

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