Multiple choice

The average speed of a car is 72 miles per hour, and the average time taken to complete a certain distance is 7 hours. What is the speed in the first 4 hours of the journey if the distance is traveled in the ratio of 2 : 5 for the first 4 hours and the remaining hours?

  1. 36 miles per hour

  2. 40 miles per hour

  3. 44 miles per hour

  4. 48 miles per hour

  5. 52 miles per hour
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A Correct answer
Explanation

Total distance = 72 * 7 = 504 miles. Ratio 2:5 for 4 hours and 3 hours. Distance 1 = (2/7) * 504 = 144 miles. Speed 1 = 144 / 4 = 36 mph.

AI explanation

The total distance traveled is 72 miles per hour multiplied by 7 hours, which is 504 miles. The distance is split in a 2 to 5 ratio, meaning the first part is two-sevenths of 504, which is 144 miles. Dividing this distance by the 4 hours gives a speed of 36 miles per hour.

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