SOLUTION: Hello, How would you solve this problem? Nine employees working at the same rate require 15 days to complete a task. Which formula indicates how long it would take to do the

Question 808749: Hello,
How would you solve this problem?
Nine employees working at the same rate require 15 days to complete a task. Which formula indicates how long it would take to do the same work if there were 3 additional employees each capable of working twice as fast as each of the original 9 employees?
It seems like a rate of work problem, but the solution can be reached much easier by dividing 9 x 5 - total work to be done - by 9 + 3 x 2 - total number of "slower" employees: 9x5/[9+(3x2)].
Is there any other way to solve this problem?
Many thanks
Found 2 solutions by richwmiller, ankor@dixie-net.com:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
9*15=135 man days
(9+ (3*2))*x=135
not only are there more workers but the new workers work faster.
15x=135
x=135/15
x=9 days

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Nine employees working at the same rate require 15 days to complete a task.
Find the no. of man-hrs required
9 * 15 = 135 man-hrs to do the job
:
Which formula indicates how long it would take to do the same work if there were 3 additional employees each capable of working twice as fast as each of the original 9 employees?
:
The 3 additional employees would be the same as 6 of the original employees
Let d = no. of days required by this group
9 + 6 = 15 men effectively
15d = 135
d = 135/15
d = 9 days with this group
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