3) Eight men can chop down 18 trees in a day. How many trees can 20 men chop down in one day?
-------------------------------------------------------
answers:
Como say: --
8 men_________18 trees
20 men______20/8 x 18 = 5/2 x 18 = 45 trees
-
RR say: 8 men chop 18 trees
1 man shops 1/8 x 18 = 18/8 trees
20 men chop 20 x 18/8 = 360/8 = 45 trees in a day
-
Yas say: 20/8 times as many:
20/8 * 18
45
-
DWRead say: rate = (8 man-days)/(18 trees) = (4 man-days)/(9 trees)
20 man-days × (9 trees)/(4 man-days) = 45 trees
-
Captain Matticus, LandPiratesInc say: 18 trees/day / 8 men = x trees/day / 20 men
20 men * 18 tree/day / 8 men = x trees/day
360 trees/day / 8 = x trees/day
45 trees/day = x trees/day
45 trees
-
Puzzling say: You have 18 trees chopped down by 8 men.
If you divide this by 8, you get the amount of trees chopped by 1 man.
Then multiply by 20 to get the number of trees for 20 men.
18 * 20/8
= 18 * 5/2
= 90/2
= 45 trees
-
llaffer say: work = rate * time
Presuming all men work at the same rate, if the rate of one man is "r", then the rate of 8 men is "8r". Work here is the number of trees, and time is in days (1).
We are given:
w = rt
18 = (8r) * 1
Solve for "r" to find the rate of one man:
18 = 8r
r = 18/8
r = 9/4
Now that we have this, we're asked how many trees 20 men can chop down in one day? We have rate, we have time, solve for work:
w = rt
Rate here will be "20r" since there are 20 people, then we can substitute the value for r that we have from above:
w = 20r * 1
w = 20(9/4)
w = 5(9)
w = 45 trees
-
Mike G say: 18 trees need 8 man-days
1 tree need 8/18 = 4/9 man days
20*9/4 = 45 trees
-
mizoo say: one man in one day: 1/8 * 18 trees
20 men in one day:
20 * (1/8 * 18) = 45 trees
-
Outlier say: 8 men = 18 trees in 1 day
1 man = 18/8 trees in 1 day
So 20 men = 20 * 18/8 = 45 trees in 1 day.
-