this is in relation to intermediate algebra
Algebra

Tutor: None Selected  Time limit: 1 Day 
Leela and Zoe can weed the vegetable garden in 2 6/7 hours. Working alone it will take Leela 6 more hours
to complete the work than it would take Zoe. How long would it take each of them to complete the gardening if they worked alone?
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leelas time when working alone take as t
zoes time when working alone take as b
when work together,
1/ total time = 1/ leelas time when working alone ( t) + 1/ zoes time when working alone (b)
1/ 2 6/7 = 1/ leelas time when working alone ( t) + 1/ zoes time when working alone(b)
and it is given that Leela 6 more hour to complete the work than it would take Zoe.
please wait...i will submit the rest within 10 minutes...
I also know that leela takes 6 hours longer than Bill, so t = b +6 .
Then 1/b + 1/(b + 6) = 1/ 2 6/7
1/b + 1/(b + 6) = 1/ 20/7
1/b + 1/(b + 6) = 7 /20
b + 6 + b / b ( b+ 6 ) = 7/20
20 ( 2b + 6 ) = (b ( b + 6) )7
40 b + 120 = (b^2+6b)7
40 b + 120 = 7 b^2+ 42 b
7 b^2+ 2 b  120 = 0
on solving,
b= 4 or 30 /7
b will not be negative,
so b= 4...
so b ( Zoe ) will take 4 hours to complete work alone.......................ANSWER
next is of leela ..it is so much to type...i will submit now ...please give 5 minutes
leela takes 6 hours more than zoe
so leela takes = 6 + 4 = 10 hours
so ANSWER IS leela takes 10 hours
zoe takes 4 hours................
hope you understood...please message if you have any doubts...thank you
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