Select the correct answerTrain A and B start at the same time. Train A travels at 55 km/hr from station X to station Y and train B travels at 80 km/hr from station Y to station X. They cross each other after 1 hour and 36 minutes. What is the distance (in km) between station X and Y?Options196240216232
Question
Select the correct answerTrain A and B start at the same time. Train A travels at 55 km/hr from station X to station Y and train B travels at 80 km/hr from station Y to station X. They cross each other after 1 hour and 36 minutes. What is the distance (in km) between station X and Y?Options196240216232
Solution
To solve this problem, we need to understand that the distance between the two stations is the total distance that both trains have traveled when they meet.
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Convert the time they meet into hours. 1 hour and 36 minutes is 1.6 hours.
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Calculate the distance each train has traveled when they meet.
For Train A, it travels at 55 km/hr, so in 1.6 hours, it has traveled 55 * 1.6 = 88 km.
For Train B, it travels at 80 km/hr, so in 1.6 hours, it has traveled 80 * 1.6 = 128 km.
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Add the distances together to find the total distance between the two stations.
So, 88 km + 128 km = 216 km.
Therefore, the distance between station X and Y is 216 km.
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