A train can travel 50\% faster than a car. Both start from point A at the same time and reach point B, 80 km away from point A, at the same time. On t - Quantitative Aptitude MCQ Practice Test 2026 | ExamTest.live

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A train can travel 50% faster than a car. Both start from point A at the same time and reach point B, 80 km away from point A, at the same time. On the way, however, the train lost about 25 minutes while stopping at the stations. The speed of the car is:

Solution & Step-by-step Explanation

Let the speed of the car be v km/h . Since the train is 50% faster, its speed is 1.5 v = \frac{3}{2} v km/h . Distance to cover = 80 km . Time taken by the car = \frac{80}{v} hours. Time taken by the train including stops = \frac{80}{\frac{3}{2} v} + \frac{25}{60} hours. Since they reach at the exact same time: \frac{80}{v} = \frac{160}{3 v} + \frac{25}{60} \frac{80}{v} - \frac{160}{3 v} = \frac{5}{12} Taking a common denominator on the left side: \frac{240 - 160}{3 v} = \frac{5}{12} \frac{80}{3 v} = \frac{5}{12} Cross-multiplying: 5 \times 3 v = 80 \times 12 15 v = 960 ⟹ v = \frac{960}{15} = 64 km/h

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A train can travel 50% faster than a car. Both start from point A at the same time and reach point B, 80 km away from point A, at the same time. On the way, however, the train lost about 25 minutes while stopping at the stations. The speed of the car is:

64 km/h

67 km/h

55 km/h

52 km/h

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