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ct answerIf a person increases his speed by 33.33%, what will be the percentage reduction in time taken to reach the same destination?Options25%20%40%50%

Question

ct answerIf a person increases his speed by 33.33%, what will be the percentage reduction in time taken to reach the same destination?Options25%20%40%50%

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Solution

The answer is 25%.

Here's the step-by-step explanation:

  1. Let's assume the initial speed is 100 units and the distance to the destination is also 100 units. Therefore, the time taken to reach the destination at the initial speed is Distance/Speed = 100/100 = 1 unit.

  2. If the speed is increased by 33.33%, the new speed becomes 133.33 units. The time taken to reach the destination at the new speed is Distance/Speed = 100/133.33 = 0.75 units.

  3. The reduction in time taken is the initial time minus the new time, which is 1 - 0.75 = 0.25 units.

  4. To express this reduction as a percentage of the initial time, we divide the reduction by the initial time and multiply by 100, which gives (0.25/1)*100 = 25%.

So, the percentage reduction in time taken to reach the same destination when a person increases his speed by 33.33% is 25%.

This problem has been solved

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