Question

PLEASE HELP ASAP!!!!! DUE SOON!!! FULL ANSWER!!!!!

One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 15 hours. How long will it take the pipe to fill the pool if the drain is left open? Express your answer as a reduced fraction.

_____________ hours

Answer 1

10 hours

Explanation:

• we need to know how fast it is filling up per hour:
• so we do 100=6x
• we divide 6 by both sides
• 
  `(100)/(6) =(6x)/(6)`
• we get x=16.66666667
• now we need to know what %will drain per hr
• so the equation is 100=15y
• now we need to divide by both sides
• 
  `(100)/(15) =(15y)/(15)`
• and we get y=6.666666667
• now that we have the input (x) and output (y) per hour we are going to find the difference
• 16.66666667-6.666666667=10
• now we know that if we leave the drain open while we fill it, each hour it will fill %10
• now we have to figure out how many hours it will take
• 1=0.1x (0.1 is %10 in decimal form)(1 is %100 in decimal form)
• we divide 0.1 into both sides
• 
  `(1)/(0.1)=(0.1x)/(0.1)`
• and we get 10 hours