Final answer:
The amount of water in the bucket after 70 hours will be 11 2/3 gallons.
Step-by-step explanation:
To find out how much water will be in the bucket after 70 hours, we need to first determine the amount of water that leaks from the faucet per hour. We know that a 4-gallon bucket was filled in 24 hours, so the amount of water leaked per hour is 4 gallons divided by 24 hours, which is 1/6 gallon per hour.
Next, we can calculate the total amount of water that will be in the bucket after 70 hours by multiplying the amount leaked per hour (1/6 gallon) by the number of hours (70 hours). This gives us 1/6 * 70 = 11 2/3 gallons of water in the bucket after 70 hours.