Multiple choice

Zishaan left office and drove straight to the airport at an average speed of $45$ miles per hour. He returned office along the same route, but traffic slowed him down and he only averaged $30$ miles per hour. If his total travel time was $2$ hours and $30$ minutes, how far is it (in miles) from Zishaan's office to the airport?

  1. 45

  2. 25

  3. 46

  4. 50

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A Correct answer
Explanation

Let distance be d. Time = d/45 + d/30 = 2.5 hours. (2d + 3d) / 90 = 2.5, so 5d = 225, d = 45.

AI explanation

Let the distance be D miles. The time taken to go to the airport is D/45 hours and the return time is D/30 hours, making the total travel time (D/45) + (D/30) = 2.5 hours. Solving this equation yields 5D/90 = 2.5, so D = 45 miles.