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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Question : A man travels 450 km to his home, partly by train and partly by car. It takes 8 hours and 40 minutes if he travels 240 km by train and rests by car. It takes 20 minutes more if he travels 180 km by train and the rest by car. The speed of the car in km/h is:
Question : A car starts from point A towards point B, travelling at the speed of 20 km/hr. $1\frac{1}{2}$ hours later, another car starts from the point and travels at the speed of 30 km/hr and reaches $2\frac{1}{2}$ hours before the first car. Find the distance between A and B.
Question : A person travels in a car at 40 km/hr for 3 hours, on a bike at 30 km/hr for 2 hours, and in a train at 80 km/hr for 5 hours. What is the average speed at which he travelled?
Question : A car covers a distance of 350 km in 5 hours and covers another 450 km at a speed of 90 km/hr. What is the average speed (in km/hr) of the car?
Question : A passenger train running at the speed of 80 km/h leaves the railway station six hours after a goods train leaves and overtakes it in four hours. What is the speed of the goods train?
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