Difficulty: Easy
Correct Answer: 4 : 5
Explanation:
Introduction / Context:
For equal distances, the speed is inversely proportional to time taken. Alternatively, compute speeds directly and take their ratio.
Given Data / Assumptions:
Distance = 640 km for both; Truck time = 10 h; Car time = 8 h.
Concept / Approach:
Compute speeds: v = distance/time. Then form the ratio truck : car.
Step-by-Step Solution:
Truck speed = 640 / 10 = 64 km/h. Car speed = 640 / 8 = 80 km/h. Ratio (truck : car) = 64 : 80 = 4 : 5.
Verification / Alternative check:
Using inverse proportionality: times 10 : 8 reduce to 5 : 4, so speeds are 4 : 5.
Why Other Options Are Wrong:
3 : 4, 1 : 2, 5 : 6 do not match the computed speeds.
Common Pitfalls:
Forgetting to simplify the ratio or mixing the order (car : truck instead of truck : car).
Final Answer:
4 : 5
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