SOLUTION: Milo and Shamika working together can wash all the windows of their house in 3 hours. Shamika can do it alone in 8 hours. If Shamika cannot help Milo how long would it take milo to
Algebra ->
Rate-of-work-word-problems
-> SOLUTION: Milo and Shamika working together can wash all the windows of their house in 3 hours. Shamika can do it alone in 8 hours. If Shamika cannot help Milo how long would it take milo to
Log On
Question 320156: Milo and Shamika working together can wash all the windows of their house in 3 hours. Shamika can do it alone in 8 hours. If Shamika cannot help Milo how long would it take milo to the job when he has to do it all by himself?
You can put this solution on YOUR website! This is a rate of work problem.
"Milo and Shamika working together can wash all the windows of their house in 3 hours. Shamika can do it alone in 8 hours. If Shamika cannot help Milo how long would it take milo to the job when he has to do it all by himself?
total work time of 2 people (x hours and y hours) in hours = 1/(1/x + 1/y), since you are taking jobs/(jobs/hours) or jobs * hours/jobs
let Milo's time = x, let Shamika's time = y
3 = 1/(1/x + 1/8)
3 * (1/x + 1/8) = 1
3/x + 3/8 = 1 (distributed 3 across)
24/x + 3 = 8 (multiplied both sides by 8, 3*8=24)
24 + 3x = 8x (multiplied both sides by x)
-5x = -24 (brought x's to one side and constants to the other)
5x = 24 (divided both sides by -1)
x = 24/5 = 4 4/5 = 4.8 hours for Milo
(