Multiple choice

Waking 3/4 of his normal speed, Ravi was 18 minutes late in reaching his office. The usual time took to cover the distance between his home and office was:

  1. 36 minutes

  2. 24 minutes

  3. 42 minutes

  4. 54 minutes

  5. None of these
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D Correct answer
Explanation

At 3/4 of the normal speed, the travel time becomes 4/3 of the usual time. The delay is therefore one-third of the usual time, so T/3 = 18 and T = 54 minutes.

AI explanation

Using the formula that late time equals usual time multiplied by (original speed minus new speed) divided by new speed, we have 18 equals usual time multiplied by (1 minus 3/4) divided by 3/4. This simplifies to 18 equals usual time multiplied by 1/3. Multiplying both sides by 3 gives the usual time of 54 minutes.

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