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Sagot :

Based on the fill rate, discharge rate and time given, the pond should be filled up by 9:00 a.m the next morning.

Pool capacity = 100 gallons

Initial filling rate = 5 gallons per hour

Amount of water in pool after 10 hours:

Filling rate × time

Amount of water in pool after 10 hours = 5 × 10 = 50 gallons

Discharge rate after 10 hours = 2 gallons per hour

Net filling rate = 5 gal/hr - 2gal/hr = 3 gal/hr

Amount of water filled into the po at this rate after 5 hours :

3 gal/hr × 5 hr = 15 gallons

Additional recharge = 4 gal/ hr

Net filling rate = 3gal/hr + 4 gal/hr = 7 gal/hr

Amount of Gallons left = 100 - (50 + 15) = 35 gallons

Number of hours till full = (gallons left) ÷ fill rate

Number of hours left = (35 ÷ 7) = 5 hours

Hence, the pool will be full after (10 + 5 + 5) = 20 hours

Therefore, the pond will be full at 9:00 am the next day.

MathHelper12345idn

Answer:

Step-by-step explanation:

After 10hrs, which is when the animals started drinking, the pool would have filled 50 gals (5gallons/hr*10hrs) When the animals started drinking, the rate decreased to 3 gallons per hr, so 3gallons/hr*5hrs is 15 gallons.

15gals+50gals=65gals

then, mcdonald added a second hose, which increased the rate up to 7 gals/hr because 3 gals/hr+/4gals/hr

there were 35 gallons left to fill, and 35/7=5

5+5+10=20

it will be 20 hours after he started which is 9:00 AM

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