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Select the correct answerIf a person increases his speed by 33.33%, what will be the percentage reduction in time taken to reach the same destination?Options40%25%20%50%

Question

Select the correct answerIf a person increases his speed by 33.33%, what will be the percentage reduction in time taken to reach the same destination?Options40%25%20%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 is Distance/Speed = 100/100 = 1 unit.

  2. If the speed is increased by 33.33%, the new speed becomes 133.33 units.

  3. The time taken to reach the destination at this new speed is Distance/Speed = 100/133.33 = 0.75 units.

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

  5. 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 the speed is increased by 33.33% is 25%.

This problem has been solved

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