SOLUTION: It takes Phoebe and Karen 2 hours and 40 minutes in making a long gown.working alone Karen would need 4 hours longer than Phoebe to finish the job.How long will each of them to do
Question 1132269: It takes Phoebe and Karen 2 hours and 40 minutes in making a long gown.working alone Karen would need 4 hours longer than Phoebe to finish the job.How long will each of them to do the job alone?
You can put this solution on YOUR website! It takes Phoebe and Karen 2 hours and 40 minutes in making a long gown.
working alone Karen would need 4 hours longer than Phoebe to finish the job.
How long will each of them to do the job alone?
:
Change 2 hr 40 min to 2.667 hrs
:
let p = Phoebe's time working alone
Karen takes 4 hrs longer, therfore
(p+4) = time required by Karen alone
Let the complete job = 1
;
each will do a fraction of the job, the two fractions add up to 1. + = 1
multiply by p(p+4), cancel the denominators
2.667(p+4) + 2.667p = p(p+4)
2.667p + 10.667 + 2.667p = p^2 + 4p
5.33p + 10.67 = p^2 + 4p
arrange as a quadratic equation on the right
0 = p^2 + 4p - 5.33p - 10.67
p^2 - 1.33p - 10.67 = 0
Use the quadratic formula; a=1; b=-1.33; c=-10.67
the positive solution
p = 4.0 hrs. for Pheobe alone
and add 4:
8 hrs for Karen alone
;
:
Check using your calc + =
You can put this solution on YOUR website!
It takes Phoebe and Karen 2 hours and 40 minutes in making a long gown.working alone Karen would need 4 hours longer than Phoebe to finish the job.How long will each of them to do the job alone?
Let time Karen takes be H
Then time Phoebe takes = H - 4
And, Karen and Phoebe can do of job in 1 hour, respectively
We then get: ======> ======>
8(H - 4) + 8H = 3H(H - 4) -------- Multiplying by LCD, 3H(H - 4)
3H(H - 8) - 4(H - 8) = 0
(H - 8)(3H - 4) = 0_____H - 8 = 0 OR
H, or time Karen takes:
Time Phoebe takes:
