Daze of Surveys - Problem is Closed
Land surveying depends in large part on logical analysis; this month’s problem gives opportunity to hone that skill. It’s a variation of an old math dilemma:
If on average it takes a surveyor-and-a-half a day-and-a-half to complete a mortgage survey-and-a-half, how many days will it take 4 surveyors to complete 19 mortgage surveys?
Determine to the nearest 0.1 day and explain how you arrive at your answer.
And please, no disparaging comments about mortgage surveys.
|6||10||5||21||Dave Tlusty||17 Mar||Correct solution|
|6||8||5||19||Richard Stenzel||18 Mar||Correct|
|6||6||5||17||Dennis Melichar||19 Mar||Correct|
|6||4||5||15||Joy Zastrow-Mulcahy||20 Mar||Correct|
|6||2||5||13||Larry Schmit||22 Mar||Correct|
|6||2||5||13||Norm Hanson||25 Mar||Correct|
|6||2||5||13||Tom Swenson||11 Apr||Correct|
|(What do all these correct soutions tell us about mortgage surveys in Wis...? Hmmm....)|
Dennis Melichar's Solution:
This problem can be converted into one that is easy to get your mind around by multiplying the given 1-1/2 data by 2/3 to convert it to 1 surveyor taking 1 day to do 1 job.
Then it is easy to see that it would take 19 days to do the 19 jobs and that 4 surveyors could do the work in 1/4 the time or 4-3/4 days. Now to convert the 1 surveyor time back to the original 1-1/2 surveyor problem multiply the 4-3/4 days by 3/2 to get the answer of 7.125 days.
To check this answer, the messy way, 19 surveys contains 12-2/3 groups of 1-1/2 surveys which takes 1-1/2 days each to complete or 19 days total. Four surveyors can work 4/1.5 or 2-2/3 faster than 1-1/2 surveyors so the 19 surveys can be completed in 19 days divided by 2-2/3 which is 7.125 days.
updated 21 May 17