Quantity I: If A goes at \(\tfrac{4}{5}\) of his actual speed, he reaches the destination 1.5 hours late. What is his actual time in hours? Quantity II: 6 Based on the given information, determine the relation between the two quantities.

Quantity I > Quantity II
Quantity I < Quantity II
Quantity I ≥ Quantity II
Quantity I = Quantity II

Correct answer: Quantity I = Quantity II

Solution

If speed is reduced to \(\tfrac{4}{5}\), time becomes \(\tfrac{5}{4}\) times the actual time. The extra time is therefore \(\tfrac{1}{4}\) of the actual time, which equals 1.5 hours. So actual time = 6 hours, making Quantity I equal to Quantity II.

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