Multiple choice

The ratio of the speed of a bike to that of a train is 10 : 25. Also, a car covers a distance of 600 miles in 8 hours. The speed of the bike is half the speed of the car. How much distance will the train cover in 6 hours?

  1. 450 miles

  2. 562.5 miles

  3. 662.5 miles

  4. 680 miles

  5. 780 miles
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Car speed = 600 / 8 = 75 mph. Bike speed = 75 / 2 = 37.5 mph. Bike:Train ratio = 10:25 = 2:5. Train speed = (37.5 / 2) * 5 = 93.75 mph. Distance in 6 hours = 93.75 * 6 = 562.5 miles.

AI explanation

First, calculate the speed of the car as 600 miles divided by 8 hours, which is 75 mph. Since the bike's speed is half of the car's speed, the bike travels at 37.5 mph. Using the given ratio of 10 to 25 for the bike and train speeds, the train's speed is 37.5 multiplied by (25/10), giving 93.75 mph. Finally, the distance the train covers in 6 hours is 93.75 multiplied by 6, which is 562.5 miles.

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