answerTwo trains start at the same time from Aligarh and Delhi and proceed towards each other at the rate of 14 km per hour and 21 km per hour respectively. When they meet, it is found that one train has travelled 70 km more than the other. The distance between two stations is?Options350 km210 km300 km140 km
Question
answerTwo trains start at the same time from Aligarh and Delhi and proceed towards each other at the rate of 14 km per hour and 21 km per hour respectively. When they meet, it is found that one train has travelled 70 km more than the other. The distance between two stations is?Options350 km210 km300 km140 km
Solution
Let's solve this step by step:
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Let's denote the time taken until the two trains meet as 't' hours.
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The speed of the first train is 14 km/h, so in 't' hours it will cover a distance of 14t km.
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The speed of the second train is 21 km/h, so in 't' hours it will cover a distance of 21t km.
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According to the problem, one train has travelled 70 km more than the other. So, we can write the equation: 21t = 14t + 70.
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Solving this equation for 't', we get t = 70 / 7 = 10 hours.
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The total distance between the two stations is the sum of the distances covered by both trains, which is 14t + 21t = 35t. Substituting t = 10 hours, we get the total distance = 35 * 10 = 350 km.
So, the correct option is 350 km.
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