Question No 61.A 500-meter long train is traveling at a speed of 60 km/h when it passes point A. At the same time when the train's last carriage crosses point A, a car starts from point A with a speed of 80 km/h. When the car reaches the middle point of the train, the train increases its speed to 70 km/h and the car reduces its speed to 75 km/h. How much distance will the car travel (in km) while passing the train completely?1) 3.52) 3.83) 4.754) 4.25
Question
Question No 61.A 500-meter long train is traveling at a speed of 60 km/h when it passes point A. At the same time when the train's last carriage crosses point A, a car starts from point A with a speed of 80 km/h. When the car reaches the middle point of the train, the train increases its speed to 70 km/h and the car reduces its speed to 75 km/h. How much distance will the car travel (in km) while passing the train completely?1) 3.52) 3.83) 4.754) 4.25
Solution
To solve this problem, we need to break it down into two parts: the distance the car travels while the train is moving at 60 km/h, and the distance the car travels while the train is moving at 70 km/h.
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First, we need to find out how long it takes for the car to reach the midpoint of the train. The train is 500 meters long, so the midpoint is 250 meters (or 0.25 km). The car is moving at 80 km/h and the train is moving at 60 km/h, so their relative speed is 20 km/h (80 km/h - 60 km/h). Therefore, the time it takes for the car to reach the midpoint of the train is distance/speed = 0.25 km / 20 km/h = 0.0125 hours.
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During this time, the car travels a distance of speed * time = 80 km/h * 0.0125 hours = 1 km.
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Next, we need to find out how long it takes for the car to pass the second half of the train. Now the car is moving at 75 km/h and the train is moving at 70 km/h, so their relative speed is 5 km/h. Therefore, the time it takes for the car to pass the second half of the train is distance/speed = 0.25 km / 5 km/h = 0.05 hours.
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During this time, the car travels a distance of speed * time = 75 km/h * 0.05 hours = 3.75 km.
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Adding these two distances together, the car travels a total of 1 km + 3.75 km = 4.75 km while passing the train completely.
So, the answer is 3) 4.75 km.
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