Solve for a r=x(a+b)
1 answer:
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The filling rate of the first tank is this: 
The filling rate of the second tank is this:
Add them to get the combined rate:
Make a common denominator by multiplying the first fraction by 2/2:
Adding them together, we get:
So, now we know that the combined rate is 3 tanks per 2 hours... but we need to know how long it will take to fill only one tank. So, we need to find the unit value, which we do by doing this:
Then we can cross-multiply:
And divide both sides by 3 to get our final answer:
So, it takes 2/3 of an hour, or 40 minutes.
Hope I helped, let me know if you have any questions :)
The filling rate of the second tank is this:
Add them to get the combined rate:
Make a common denominator by multiplying the first fraction by 2/2:
Adding them together, we get:
So, now we know that the combined rate is 3 tanks per 2 hours... but we need to know how long it will take to fill only one tank. So, we need to find the unit value, which we do by doing this:
Then we can cross-multiply:
And divide both sides by 3 to get our final answer:
So, it takes 2/3 of an hour, or 40 minutes.
Hope I helped, let me know if you have any questions :)