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Option 2 : D = 3V
Calculation:
Let total distance be X
Case I:
⇒ Time taken to cover 1/6th of distance = X/ (6× V)
⇒ Time taken to cover remaining distance = 5X/ (6 × 5 × V/ 8)
Case II:
⇒ Time taken to cover whole distance = X/ (3 × V/ 4)
⇒ (X/ 6V) + (40X/ 30V) = (4X/ 3V) + 0.5
⇒ (5X + 45X)/ 30V = (4X + 1.5V)/ 3V
⇒ 4.5X = 4X + 1.5V
⇒ 0.5X = 1.5V
⇒ X = 3.0 × V
∴ Distance D = 3 × V
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