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Ashish drives to his office, if he increases his average speed by 12%, then by what percentage ( correct to two decimal places) will his time of travel decrease?

Question

Ashish drives to his office, if he increases his average speed by 12%, then by what percentage ( correct to two decimal places) will his time of travel decrease?

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Solution

To solve this problem, we need to understand the relationship between speed, distance, and time. The formula is Speed = Distance/Time.

  1. Let's assume the original speed is 100 units (this can be any unit: km/h, m/s, etc.), and the distance to the office is also 100 units. Therefore, the original time taken is Distance/Speed = 100/100 = 1 unit of time.

  2. If Ashish increases his speed by 12%, his new speed becomes 112 units. The distance to the office remains the same, so the new time taken is Distance/Speed = 100/112 = 0.892857 units of time.

  3. To find the percentage decrease in time, we subtract the new time from the original time, divide by the original time, and then multiply by 100. So, ((1 - 0.892857) / 1) * 100 = 10.71%.

Therefore, if Ashish increases his average speed by 12%, his time of travel will decrease by approximately 10.71%.

This problem has been solved

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