Multiple choice

Waking (\frac{3}{4}) of his normal speed, a man is 24 minutes late in reaching his office. The usual time taken by him to cover the distance between his home and office:

  1. 60 minutes

  2. 64 minutes

  3. 68 minutes

  4. 72 minutes
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

When walking at 3/4 of normal speed, time becomes 4/3 of usual time. The extra time is (4/3 - 1) × usual time = 24 minutes. So (1/3) × usual time = 24, giving usual time = 72 minutes. Verification: At 3/4 speed, time = 72 × 4/3 = 96 minutes, which is 24 minutes more than usual.

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