SOLUTION: suppose 5 people can peel 8 baskets of apples in 3 hours. t persons can peel w baskets in ? hours. and t persons can peel ? baskets in z hours

Algebra ->  Rate-of-work-word-problems -> SOLUTION: suppose 5 people can peel 8 baskets of apples in 3 hours. t persons can peel w baskets in ? hours. and t persons can peel ? baskets in z hours      Log On


   



Question 736649: suppose 5 people can peel 8 baskets of apples in 3 hours. t persons can peel w baskets in ? hours.
and t persons can peel ? baskets in z hours

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
suppose 5 people can peel 8 baskets of apples in 3 hours.
# of people is directly related to # of baskets and inversely related
to n umber of hours.
------------------------------
p = k*b/h
Solve for "k" using "5 people can peel 8 baskets of apples in 3 hours":
5 = k*8/3
k = 15/8
---------
Equation:
p = (15/8)(b/h)
-----
t persons can peel w baskets in ? hours.
h = (15/8)(b/p)
hrs = (15/8)(w/t)
-----------------------------
and t persons can peel ? baskets in z hours
z = (15/8)(?/t)
====================
Cheers,
Stan H.
=====================

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1)
5 people can peel 8 baskets of apples in 3 hours
In 1/3 that time, it will take 3 times as many people
to peel the same number of baskets, so
15 people can peel 8 baskets of apples in 1 hour
---------------------
More people reduces the hours it takes and
More baskets increases the hours it takes
+%28+15%2Ft+%29%2A%28+w%2F8+%29+=+15w+%2F+8t+
t persons can peel w baskets in 15w/8t hours
-----------------------
(2)
t persons can peel ? baskets in z hours
5 people can peel 8 baskets of apples in 3 hours
To peel +1%2F8+ that number of baskets,
5 people can peel 1 basket of apples in +3%2F8+ hours
------------------------
More people increases the number of baskets peeled
More hours increases the number of baskets peeled
t persons can peel +%28+t%2F5+%29%2A%28+z+%2F+%283%2F8%29+%29+ baskets in z hours
t persons can peel ++8t%2Az+%2F+3%2A5+=+8t%2Az+%2F+15+ baskets in z hours
Hope I got it