Jenny and Penny can eat a whole gallon of ice cream together in 2 hours. Penny and Lenny can eat a whole gallon of ice cream together in 1 2\3 hours( it is one two by 3 hours) . All three together can eat a whole gallon of ice cream together in 1 hour. How many hours would it take Jenny to eat a whole gallon of ice cream all by herself?

Question

anonymous · Answer

All I know is that I want to murder whoever thought  that rhyming penny,jenny.and lenny was cute and that putting it in a math problem was a good idea -_-

anonymous · Answer

please lets get this thing done

khalilforthewin · Answer

maybe this will help http://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.hide_answers.1.html

anonymous · Answer

do u know how to solve these eqns.?

anonymous · Answer

yes lall that is given  . fine

anonymous · Answer

sorry i am deleting the above post because i have done wrong.....
i would like to tell you how.....

anonymous · Answer

let time taken by jenny to eat a whole gallon individually  =j hr.
  "        "             penny               "          "                        =p hr.
 "                       lenny                    "                               = l hr.

now amount of ice cream eaten from gallon in 1 hr. by jenny = 1/j 
                    "                                                           penny = 1/p
                      "                                                          lenny  = 1/l

anonymous · Answer

now to make the eqns.

anonymous · Answer

since jenny and penny can eat the whole one gallon in 2hr. time
hence
          2 * [(1/j)  +  (1/p) ] = 1 .................(1)

anonymous · Answer

do you get the eqn.?

anonymous · Answer

got to know how it is made?

anonymous · Answer

Ok..got it now

anonymous · Answer

see jenny can eat amount ice cream per hr =1/j
similarly by penny =1/p
but both combines to eat the whole on gallon in 2hr
hence you add the amounts of ice cream eaten by penny and jenny in 1 hr
but both combines to eat ice cream  in   one gallon 2hr
thus i hv multiplied by 2 to get the amount of one gallon on the rhs of eqn.

anonymous · Answer

@danyboy9169

anonymous · Answer

llly other eqns. are 
(5/3) *  [1/p  +  1/l ]   = 1 ....................(2)
1/j  +  1/p + 1/l  = 1............................(3)

anonymous · Answer

now to solve the eqns.
from (1)
1/j  + 1/p =1/2 .............(4)
put (4) in (3)
you get
1/2 + 1/l = 1

1/l = 1/2

anonymous · Answer

llly you can get for jenny
 but remember in the end
  
you should write

t. taken by lenny = l hr. = 2 hr.

anonymous · Answer

do you get the things ?
you can work for jenny...