Tammie M.

asked • 11/29/17

Time Calculation Question

If two teams have have 80 hours to build identical buildings and both teams have the option to accelerate building construction by 40 hours, in 2 minute increments, would the team that accelerates the build faster finish first?

1 Expert Answer

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Kenneth S. answered • 11/29/17

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Tammie M.

Hi Kenneth, speed up meaning cut the construction time.  Each team would have 1200 opportunities to cut the time by 2 minutes.  If team A used all 1200 opportunities right away and team B took 10 hours to use theirs, would team A finish first?
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11/29/17

Kenneth S.

I do not think that this is realistic (practical), but anyway, you're saying that 1200 decisions could be made, each of which would reduce the construction time by 2 minutes, i.e. cumulatively 1200(2 min) = 1200(1/30 hr) = 40 hours saved.
 
The other team can take one action, which will save 40 hours.
 
Therefore each team will save 40 hours so it's a tie.
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11/29/17

Tammie M.

No, each team can only cut in the two minute increments.  The argument I'm having is that the team that uses their 1200 "cuts" first will win vs. each team will still finish at the same time as long as both teams use all 1200 opportunities.
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11/29/17

Kenneth S.

It does not matter when the 2=minute reduction occur, since all any reduction does is subtract 2 minutes off the completion time. They can be spaced anywhere throughout the work, and their net effect is simply to subtract 40 hours from the time, ultimately.
 
But as I say, this is not the way work works!
 
(Applying 1200 consecutive 2 min. reductions is equivalent to one uninterrupted 40 hour saving.)
 
It's a tie, but it's not a well designed problem (as related to construction projects and their management, and the behavior of labor forces).
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11/30/17

Tammie M.

Yes!  I couldn't figure out a better way to present the problem, I do realize this isn't how work works, lol.  We're building virtual buildings, so the only thing that matters is pushing buttons to reduce the build times.  I've been trying to explain that as long as both teams hit max accelerations it's a tie.
 
Thank you for your patience, Kenneth!  And confirming what I believed to be correct.  
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11/30/17

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