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GentlePurpleRain
GentlePurpleRain
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Assuming they get the same gas mileage:

133 1/3$133 \frac13$ miles.

Reasoning:

You drive both cars 33 1/3$33 \frac13$ miles. Then you transfer 33 1/3$33 \frac13$ miles worth of gas from one car to the other. That car now has enough gas to go another 100$100$ miles, and the other car has exactly 33 1/3$33 \frac13$ miles worth of gas left in the tank. That's just enough to get home.

Assuming they get the same gas mileage:

133 1/3 miles.

Reasoning:

You drive both cars 33 1/3 miles. Then you transfer 33 1/3 miles worth of gas from one car to the other. That car now has enough gas to go another 100 miles, and the other car has exactly 33 1/3 miles worth of gas left in the tank. That's just enough to get home.

Assuming they get the same gas mileage:

$133 \frac13$ miles.

Reasoning:

You drive both cars $33 \frac13$ miles. Then you transfer $33 \frac13$ miles worth of gas from one car to the other. That car now has enough gas to go another $100$ miles, and the other car has exactly $33 \frac13$ miles worth of gas left in the tank. That's just enough to get home.

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Assuming they get the same gas mileage:

133 1/3 miles.

Reasoning:

You drive both cars 33 1/3 miles. Then you transfer 33 1/3 miles worth of gas from one car to the other. That car now has enough gas to go another 100 miles, and the other car has exactly 33 1/3 miles worth of gas left in the tank. That's just enough to get home.