Question : A car travels 80 km in 2 hours, and a train travels 180 km in 3 hours. The ratio of the speed of the car to that of the train is:
Option 1: 2 : 3
Option 2: 3 : 2
Option 3: 3 : 4
Option 4: 4 : 3
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Correct Answer: 2 : 3
Solution :
Given:
The car travels 80 km in 2 hours.
The train travels 180 km in 3 hours.
Speed of the car =$\frac{\text{Distance}}{\text{Time}}$ = $\frac{80}{2}$ km/hr = 40 km/hr
Speed of the train = $\frac{\text{Distance}}{\text{Time}}$ = $\frac{180}{3}$ km/hr = 60 km/hr
The ratio of the speed of the car to that of the train = 40 : 60 = 2 : 3
Hence, the correct answer is 2 : 3.
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