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correct answerIf speed of person is increased by 20% he reaches 15 min early. What is the initial time by the person?Options40 min50 min90 min120 min

Question

correct answerIf speed of person is increased by 20% he reaches 15 min early. What is the initial time by the person?Options40 min50 min90 min120 min

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Solution

To solve this problem, we need to understand that speed and time have an inverse relationship. If speed increases by a certain percentage, time decreases by that same percentage.

  1. Let's denote the initial speed as S and the initial time as T.

  2. If the speed increases by 20%, the new speed is 1.2S.

  3. This means the new time to travel the same distance is T/1.2.

  4. We know that this new time is 15 minutes less than the initial time, so we can write the equation T/1.2 = T - 15.

  5. Solving this equation for T gives us T = 90 minutes.

So, the initial time taken by the person was 90 minutes.

This problem has been solved

Similar Questions

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