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Select the correct answerPlaces A and B are 396 km apart. Train X leaves from A for B and train Y leaves from B for A at the same time on the same day on parallel tracks. Both trains meet after 5.5 hours. The speed of Y is 10 km/h more than that of X. What is the speed (in km/h) of Y?Options31414654

Question

Select the correct answerPlaces A and B are 396 km apart. Train X leaves from A for B and train Y leaves from B for A at the same time on the same day on parallel tracks. Both trains meet after 5.5 hours. The speed of Y is 10 km/h more than that of X. What is the speed (in km/h) of Y?Options31414654

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Solution

To solve this problem, we need to use the concept of relative speed.

Step 1: Understand the problem Two trains are moving towards each other and they cover a total distance of 396 km in 5.5 hours. The speed of train Y is 10 km/h more than that of train X. We need to find the speed of train Y.

Step 2: Set up the equations Let's denote the speed of train X as 'x' km/h. Therefore, the speed of train Y is 'x + 10' km/h. Since they are moving towards each other, their relative speed is 'x + (x + 10)' km/h. They cover the total distance of 396 km in 5.5 hours. So, we can set up the equation as follows: (x + x + 10) * 5.5 = 396

Step 3: Solve the equation 2x + 10 = 396 / 5.5 2x + 10 = 72 2x = 72 - 10 2x = 62 x = 62 / 2 x = 31

So, the speed of train X is 31 km/h.

Step 4: Find the speed of train Y The speed of train Y is 'x + 10' km/h = 31 + 10 = 41 km/h.

So, the correct answer is 41 km/h.

This problem has been solved

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