In an inverse proportion, if speed doubles, travel time:

In an inverse proportion, if speed doubles, travel time:

• A. Halves
• B. Doubles
• C. Remains the same
• D. Increases

Answer: (A)

Travel time is inversely proportional to speed when the distance stays the same. The relationship is t = distance divided by speed. If you double the speed, the time must adjust to keep the product distance = speed × time constant. So t becomes d/(2v), which is half of the original time: t' = (1/2)(d/v) = t/2. In practical terms, going twice as fast gets you to the same destination in half the time. For example, a 100-mile trip at 50 mph takes 2 hours; at 100 mph it takes 1 hour.

Travel time is inversely proportional to speed when the distance stays the same. The relationship is t = distance divided by speed. If you double the speed, the time must adjust to keep the product distance = speed × time constant. So t becomes d/(2v), which is half of the original time: t' = (1/2)(d/v) = t/2. In practical terms, going twice as fast gets you to the same destination in half the time. For example, a 100-mile trip at 50 mph takes 2 hours; at 100 mph it takes 1 hour.