If a person increases his speed by 33.33%, what will be the percentage reduction in time taken to reach the same destination?

Sure, here's how to solve this problem:

1. Let's assume the initial speed of the person is 100 units (this could be kilometers per hour, miles per hour, etc. - the units don't matter for this problem).

2. If the person increases his speed by 33.33%, his new speed becomes 133.33 units.

3. Now, let's consider the distance to the destination to be D units. The time taken to reach the destination at the initial speed is D/100.

4. The time taken to reach the destination at the increased speed is D/133.33.

5. The reduction in time taken is therefore (D/100) - (D/133.33).

6. To find this as a percentage of the initial time taken, we divide by (D/100) and multiply by 100, which gives us [(D/100 - D/133.33) / (D/100)] * 100.

7. Simplifying this expression, we find that the percentage reduction in time taken is approximately 25%.

So, if a person increases his speed by 33.33%, the time taken to reach the same destination will be reduced by approximately 25%.