If a person increases his speed by 33.33%, what will be the percentage reduction in time taken to reach the same destination?Options25%20%50%40%
Question
If a person increases his speed by 33.33%, what will be the percentage reduction in time taken to reach the same destination?
Options:
- 25%
- 20%
- 50%
- 40%
Solution
The answer is 25%.
Here's the step-by-step explanation:
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Let's assume the original speed is 100 units and the distance to the destination is also 100 units. Therefore, the time taken to reach the destination at the original speed is Distance/Speed = 100/100 = 1 unit.
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If the speed is increased by 33.33%, the new speed becomes 133.33 units. The time taken to reach the destination at the increased speed is Distance/Speed = 100/133.33 = 0.75 units.
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The reduction in time taken is the original time minus the new time, which is 1 - 0.75 = 0.25 units.
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To express this reduction as a percentage of the original time, we divide the reduction by the
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