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If x people, all working at the same rate, can do a certain job in y hours, then one person working alone at this rate, could do the job in how many hours. (in terms of x and y)

2007-10-16 04:38:42 · 4 answers · asked by i-play-the-fish 3 in Science & Mathematics Mathematics

I got the problem back from the teacher and he said it was 1/xy.It didn't have time to ask him to explain it but I will know by wednesday night.

2007-10-22 14:07:29 · update #1

4 answers

x = people
y = time

if 1 person is

1\xy because people times the time they worked will be equal to the rate

2007-10-23 21:50:04 · answer #1 · answered by -=iNsaNE pr0diGY=- 3 · 0 1

Example
Say
5 people take 10 hours
1 person takes (5/1) x 10 hours = 50 hours
Thus
x people take y hours
1 person takes (x/1)(y) hours = xy hours

2007-10-23 06:34:14 · answer #2 · answered by Como 7 · 0 1

total of work done is x times y (workers times hours)
if n is the number of persons
total time is
t = xy/n
in this case n = 1, thus
t = xy

2007-10-16 04:44:48 · answer #3 · answered by landonastar 3 · 1 2

xy

2007-10-21 20:33:06 · answer #4 · answered by helen_vorobyova 2 · 1 2

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