Answer:
x=-3/19
y=39/19
Step-by-step explanation:
the equations can be written as the following system
If the second equation is multiplied by 3/2 it will become -18x+3y=9
If that equation is then subtracted with the first you will obtain the following
-19x=3, it means x=-3/19
The other variable is obtained by substituting the new value for x in the first equationx+3y=6, thus we obtain that y=39/19
Answer:
Jim's hose: 27 hours.
Bob's hose: 21.6 hours.
Step-by-step explanation:
Let t represent hours taken by Jim's hose.
Part of pool filled by Jim's hose in 1 hour would be .
We have been given that Bob's hose, used alone, takes 20% less time than Jim's hose alone. This means that Bob's hose take will take 80% time of Jim's hose that is .
Part of pool filled by Bob's hose in 1 hour would be .
We are also told that it takes 12 hours using both hoses. Part of pool filled by both hoses in 1 hour would be .
Now, we will add rates of both hoses and equate with as:
Cross multiply:
Therefore, it will take 27 hours for Jim's hose to fill the pool alone.
Time take by Jim's hose alone: .
Therefore, it will take 21.6 hours for Bob's hose to fill the pool alone.