Question

Karis and Ryan are filling up their cars with gas. Karis already had 5gallons and if filling up her tank at a rate of 0.7gallons per second. Ryan already had 3gallons and is filling up his tank at a rate of 0.9gallons per second. How long will it take for them to take for them to have the same amount of gas in their tank?

Answer 1

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Answer 2

Explanation:

To find out how long it will take for Karis and Ryan to have the same amount of gas in their tanks, we need to set up an equation based on the given information.

Let's first determine how many gallons Karis has after t seconds. We know that she already had 5 gallons, and she is filling up her tank at a rate of 0.7 gallons per second. So, the number of gallons Karis has after t seconds can be represented by the equation:

Gallons of Karis = 5 + 0.7t

Similarly, let's determine how many gallons Ryan has after t seconds. We know that he already had 3 gallons, and he is filling up his tank at a rate of 0.9 gallons per second. So, the number of gallons Ryan has after t seconds can be represented by the equation:

Gallons of Ryan = 3 + 0.9t

Now, to find the time it takes for both Karis and Ryan to have the same amount of gas in their tanks, we need to set the two equations equal to each other:

5 + 0.7t = 3 + 0.9t

Let's solve this equation:

5 - 3 = 0.9t - 0.7t

2 = 0.2t

Dividing both sides of the equation by 0.2, we get:

t = 2/0.2

t = 10

Therefore, it will take 10 seconds for Karis and Ryan to have the same amount of gas in their tanks.