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A car travels 20% slower than a train. Both starts from point A at the same time and reach point B 240 km away at the same time. On the way the train takes 48 minutes for stopping at the stations. What is the speed (in km/hr) of the car?
80
100
120
60
- Let the train’s speed be x km/hr.
- The car is 20% slower, so its speed = 0.8x km/hr.
- Both start together, cover 240 km, and reach at the same time.
- The train stops for 48 minutes (which is 0.8 hours) during the journey.
- Time taken by the train (including stoppage): \( \frac{240}{x} + 0.8 \) hours.
- Time taken by the car: \( \frac{240}{0.8x} \) hours.
- They reach together: \( \frac{240}{0.8x} = \frac{240}{x} + 0.8 \)
- Simplifying:
- \( \frac{240}{0.8x} - \frac{240}{x} = 0.8 \)
- \( 300/x - 240/x = 0.8 \) (since 240/0.8x = 300/x)
- \( (300-240)/x = 0.8 \)
- \( 60/x = 0.8 \)
- \( x = 75 \) km/hr (train’s speed)
- Car’s speed = 0.8 × 75 = 60 km/hr
- Among the options:
- Option 1: 80 (too high)
- Option 2: 100 (too high)
- Option 3: 120 (too high)
- Option 4: 60 Correct Answer
By: Parvesh Mehta ProfileResourcesReport error
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