Men Working Madly

Algebra Level pending

There are $900$ men working on a building, and estimatedly, they will finish in $2$ years ( $730$ days). After $455$ days, $250$ men left to build another building. How many days can the remaining men do the work? The answer should be estimated to the nearest multiple of $10$ .

The answer is 380.

2 solutions

Lee Hang Zheng
Sep 7, 2014

With 900 people, work can be done in 730 days, with 900-250=650 people how long does it take to complete 900 people's worth of 730-455=275 days work? Answer is
(900/650)×275≈380 days. Why? The lesser the people, the longer the time it takes, which is why (900/650) ratio is taken instead of (650/900), I hope it helped, good day.

A Former Brilliant Member
Dec 17, 2017

Let $x$ be the number of days for the remaining workers to finished the job. Then we have

$900(455)+650x=900(730)$

$409500+650x=657000$

$650x=247500$

$\boxed{x\approx 380~\text{days}}$

Men Working Madly

The answer is 380.

2 solutions

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