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
If speed of person is increased by 20% he reaches 15 min early. What is the initial time by the person?
Options:
- 40 min
- 50 min
- 90 min
- 120 min
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.
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Let's denote the initial speed as S and the initial time as T.
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If the speed increases by 20%, the new speed is 1.2S.
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This means the new time to travel the same distance is T/1.2.
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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.
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Solving this equation for T gives us T = 90 minutes.
So, the initial time taken by the person was 90 minutes.
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