A truck covers 640 km in 10 hours. A car covers the same distance in 8 hours. What is the ratio of the speed of the truck to the speed of the car?

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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