Subjects algebra

Inverse Proportion 16Ce4D

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1. The problem is to find the distance traveled in 5 hours given that 60 km is traveled in 2 hours, assuming inverse proportionality. 2. In inverse proportionality, when one quantity increases, the other decreases such that their product remains constant. 3. The formula for inverse proportionality is $x \times y = k$, where $k$ is a constant. 4. Given distances and times, if distance is inversely proportional to time, then $d \times t = k$. 5. Using the given data: $60 \times 2 = k$, so $k = 120$. 6. For $t = 5$ hours, distance $d$ satisfies $d \times 5 = 120$. 7. Solving for $d$: $$d = \frac{120}{5} = 24$$. 8. Therefore, the distance traveled in 5 hours is 24 km, not 28. 9. Note: The user's step $\frac{60}{x} = \frac{5}{2}$ is incorrect for inverse proportionality; it corresponds to direct proportionality. 10. Correct inverse proportionality relation is $60 \times 2 = x \times 5$. Hence, the answer is 24 km.