SOLUTION: One maid can clean the house three times faster than another. Working together they can clean the entire house in three hours. How long would it take the faster maid cleaning alone
Algebra.Com
Question 714063: One maid can clean the house three times faster than another. Working together they can clean the entire house in three hours. How long would it take the faster maid cleaning alone?
Found 2 solutions by nerdybill, Alan3354:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
One maid can clean the house three times faster than another. Working together they can clean the entire house in three hours. How long would it take the faster maid cleaning alone?
Let x = time (hours) it takes faster maid
then
3x = time (hours) it takes slower maid
.
3(1/x + 1/(3x)) = 1
3(3 + 1) = 3x
3(4) = 3x
4 hours = x
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
One maid can clean the house three times faster than another. Working together they can clean the entire house in three hours. How long would it take the faster maid cleaning alone?
-------------
3 times faster means she could clean 3 more houses in the time of the slower maid.
3 more = 4 houses
--> 3 times faster is 4 times as fast.
------
t = time of the faster maid
then
4t = time of the slower maid
=============
3(1/t + 1/(4t)) = 1
3(4 + 1) = 4t
3(5) = 4t
t = 15/4 = 3.75 hours for the faster maid working alone.
========================================
3 times faster is not the same as 3 times as fast.
----
If something is 1 times faster, it's 100% faster, or 100% greater = 2 times.
1 time faster can't be the same speed (or amount).
50% faster is not half as fast, right?
RELATED QUESTIONS
one maid can clean the house three times faster than another. Working together they can... (answered by Paul)
One maid can clean the house three times faster than another. Working together they can... (answered by josmiceli)
One maid can clean the house three times faster than another. Working together they can... (answered by josmiceli)
One maid can clean the house three times faster than another. Working together they can... (answered by stanbon)
If one maid can clean a house in 4 hours and another maid can clean a house in 6 hours... (answered by ptaylor)
One maid can clean the house in 8hr. Another maid can do the job in 4hr. How long will it (answered by josgarithmetic)
One maid can clean the house in 6 hours. Another maid can do the job in 5 hours. How long (answered by VickyFM)
One maid can clean the house in 3 hours. Another maid can do the job in 8 hours. How long (answered by stanbon,ikleyn)
one roofer can put a new roof on a house three times faster than another. Working... (answered by chosenpoint)