Original question written by FE Exam AI Prep from the public FE Civil exam specification. Before release, a solver model re-derived the answer twice from the question alone, without its answer key, and a critic model checked the result, and the arithmetic was re-run as an executable calculation. No licensed engineer reviews these questions. It is not an NCEES question and does not come from any NCEES practice exam. FE Exam AI Prep is an independent study tool and is not affiliated with, endorsed by, or sponsored by NCEES.
EASYduration = quantity/rate
Activity Duration from Production Rate: FE Civil practice problem 3
For the Bayshore detention pond retrofit, a civil analyst preparing a field-change evaluation schedules 840 units of work with 3 crews, each producing 60 units/day. What duration is required?
- A2.89 days
- B5.02 days
- C4.67 days
- D6.06 days
Show the answer and worked solution
Answer: C — 4.67 days
Worked solution
- Step 1. Divide total work by combined production
duration = work/(crews x production)
duration = 840/(3 x 60) = 4.67 days
Why the other choices are wrong
- Choice A
- This value sits below what 840 divided by 3 times 60 actually returns, and the shortfall does not trace back to one clean dropped or altered step, so the larger duration should be used instead.
- Choice B
- Computing 840/(3 * 60) directly gives a smaller duration than this total, and no single dropped or duplicated step in the work-over-crew-output division explains a figure this much larger, so the smaller result from that direct division is the one the data supports.
- Choice D
- This total runs somewhat above 840/(3 * 60), and the difference does not follow from one traceable arithmetic slip in the work-over-crew-output division, so the smaller duration from that direct calculation is the one to trust.