A water tank decreases by 10 gallons every 3 hours every day. What is the total change in the amount of water in the tank after 6 days?
possible answers are.
80 gallons
-80 gallons
480 gallons
-480 gallons
The tank decreases by 10 gallons every 3 hours. There are 24 hours in a day, so the tank decreases by (10/3) gallons every day.
After 6 days, the total change in the amount of water in the tank is 6 * (10/3) = 20 gallons.
Therefore, the correct answer is:
80 gallons.
To find the total change in the amount of water in the tank after 6 days, we first need to determine the amount of water that decreases every day.
On each day, the water tank decreases by 10 gallons every 3 hours. Since there are 24 hours in a day, this means that the water tank decreases by 10 gallons every 8 hours (24 hours / 3 hours = 8 increments of 3 hours).
Therefore, the water tank decreases by 10 gallons every 8 hours, which is equivalent to a decrease of 10/8 = 1.25 gallons per hour.
Now, we can calculate the total change in the amount of water in the tank after 6 days. Since there are 24 hours in a day, the total number of hours in 6 days is 24 hours/day * 6 days = 144 hours.
The total change in the amount of water in the tank after 6 days is:
1.25 gallons/hour * 144 hours = 180 gallons.
Therefore, the correct answer is 180 gallons.