Aptitude:speed and distance [Section 1 of 1] Q5 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 17:35Select the correct 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?
Question
Aptitude:speed and distance [Section 1 of 1] Q5 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 17:35Select the correct 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?
Solution
Let's denote the time at which the two trains meet as 't' hours.
The first train travels at a speed of 14 km/h, so in 't' hours it will cover a distance of 14t km.
The second train travels at a speed of 21 km/h, so in 't' hours it will cover a distance of 21t km.
According to the problem, one train has travelled 70 km more than the other. So we can write the equation:
21t = 14t + 70
Solving this equation for 't' gives us t = 70 / 7 = 10 hours.
So, the two trains meet 10 hours after they start travelling.
The total distance between the two stations is the sum of the distances travelled by the two trains, which is 14t + 21t = 35t = 35 * 10 = 350 km.
So, the distance between the two stations is 350 km.
Similar Questions
Two 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?Options210 km350 km300 km140 km
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