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To find the number of hours it will take for the asteroid to hit Mars, we need to divide the distance between Mars and the asteroid by the rate at which the asteroid is traveling.
Distance = 3.321x10^8 miles
Rate = 7.7x10^4 mi/hr
Hours = Distance / Rate
Hours = (3.321x10^8 miles) / (7.7x10^4 mi/hr)
We can simplify this by dividing the coefficients and subtracting the exponents:
Hours ≈ (3.321 / 7.7) x 10^(8 - 4) ≈ 0.43 x 10^4 ≈ 4.3 x 10^3
Therefore, it will take approximately 4.3 x 10^3 hours for the asteroid to hit Mars.