Answer: 12 hours
Step-by-step explanation:
Let x = time it takes to fill the pool if the inlet pipe and drain pipe are both open
1/6 = portion of pool filled per hour by the inlet pipe
1/12 = portion of pool emptied per hour by the drain
1/x = portion of pool filled per hour if the inlet pipe and drain are both open
Then, 1/6 - 1/12 = 1/x
Multiply by the LCD, 12x, to obtain
2x - x = 12
x = 12 hours
Answer:
100%
Step-by-step explanation:
Answer: it will take them 48 minutes.
Step-by-step explanation:
John can mow a lawn in 80 minutes. This means that the rate at which he moans the lawn per minute is 1/80
Rocky can mow the same lawn in 120 minutes. This means that the rate at which Rocky can mow the same lawn per minute is 1/120
If they work together, they would work simultaneously and their individual rates are additive. This means that their combined working rate would be
1/80 + 1/120 = 200/9600 = 1/48
Assuming it takes t hours for both of them to clean the room working together, the working rate per hour would be 1/t. Therefore,
1/48 = 1/t
t = 48 minutes
Answer:
Step-by-step explanation:
We have the expression:
The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x
We will get:
Now we can directly add the terms to get:
We can't simplify this anymore
P = 2(L + W)
P = 258
L = 2W - 9
258 = 2(2W - 9 + W)
258 = 2(3W - 9)
258 = 6W - 18
258 + 18 = 6W
276 = 6W
276/6 = W
46 = W <=== here is the width
L = 2W - 9
L = 2(46) - 9
L = 92 - 9
L = 83 <== here is the length
