2007-01-26 20:15:12 · 9 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Meters per man per day would be ...
(140/36)/21 = (50/X)/18
Multiply both sides by 21
140/36 = (21(50/X))/18
Multiply both sides by 18
18(140/36) = 21(50/X)
140/2 = 21(50/X)
70 = 1050/X
Multiply both sides by X
70x = 1050
Divide both sides by 70
X = 1050/70 = 15 men
2007-01-26 20:29:56 · answer #1 · answered by b_plenge 6 · 1⤊ 0⤋
What is consistant is the meters of wall built per man per day,
which is given in the first scenario as:
140meters / 36men / 21 days
There is no need to work this out because the rate will
be the same with any length wall, any number of men and
a given number of days.
To solve this, simply equate the two fractions and solve for
the missing days:
(140meters) / (36men*21days) = (50meters) / ( x men * 18days)
140 / 36 / 21 = 50 / x / 18 multiply both sides by "x" to get
x * 140 / 36 / 21 = 50 / 18 divide both sides by 140
x / 36 / 21 = 50 / 18 / 140 multiply both sides by 21
x / 36 = 21 * 50 / 18 / 140 multiply both sides by 36
x = 36 * 21 * 50 / 18 / 140 multiply out to solve for x
x = 37800 / 18 / 140
x = 2100 / 140
x = 15
2007-01-27 05:45:27 · answer #2 · answered by themountainviewguy 4 · 0⤊ 0⤋
First we need to determine how long a segment of wall can be built in one man-day.
1 man-day = 140/(36*21) = 5/27 m
1 man can build 5/27m of wall in one day.
1 man can built (18)(5/27) = 10/3 m of wall in 18 days.
The number of men neede to build 50 m of wall in 18 days is:
50/(10/3) = 150/10 = 15 men
15 men can build 50 m of wall in 18 days.
2007-01-27 05:30:14 · answer #3 · answered by Northstar 7 · 0⤊ 0⤋
let x = the men req'd
36men = 140m/21days or 6.66667 m/day
x = 50m/18days or 2.777778 m/day
through ratio and proportion, we can find;
x = 36men ( 2.777778m/day) / 6.6666667 m/daY
X = 15Men
2007-01-27 05:10:35 · answer #4 · answered by john 1 · 0⤊ 0⤋
may be 11 men are enough to build it :)
2007-01-27 04:30:27 · answer #5 · answered by 99%cocoa 1 · 0⤊ 1⤋
2 factors:
1) their rate of pay
2) can they all speak the same language?
2007-01-27 04:23:16 · answer #6 · answered by Anonymous · 0⤊ 1⤋
are they working for a contractor or for the state?
is this scale pay? WHO CARES
2007-01-27 04:17:22 · answer #7 · answered by tomiyo 4 · 1⤊ 1⤋
depends on labour union rates of pay
pay independants and you get better production but pay more
2007-01-27 04:18:46 · answer #8 · answered by q6656303 6 · 1⤊ 1⤋
Just one - me.
2007-01-27 04:17:44 · answer #9 · answered by C J 3 · 0⤊ 1⤋