Problema Solution
It takes an older computer twice as long to send out a company’s email as it does a newer computer. Working together, it takes the two computers15 minutes to send out the email. How long will it take the newer computer to send out the email on its own?
Do not do any rounding.
Answer provided by our tutors
let
x = the minutes that the new computer needs to send out the mail on its own, x>0
y = the minutes that the old computer needs to send out the mail on its own, y>0
working together, it takes the two computers 15 minutes to send out the email
1/x + 1/y = 1/15
it takes an older computer twice as long to send out a company’s email as it does a newer computer
y = 2x
plug y = 2x into 1/x + 1/y = 1/15
1/x + 1/(2x) = 1/15
by solving we find
x = 22.5 min
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the newer computer will need 22.5 min to send out the email on its own.