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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?Options41463154

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?Options41463154

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Solution

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

Step 1: We know that the total distance between places A and B is 396 km.

Step 2: We also know that both trains meet after 5.5 hours. This means that the sum of the distances covered by both trains is 396 km.

Step 3: Since distance = speed x time, we can say that the sum of the speeds of both trains is 396 km / 5.5 hours = 72 km/h.

Step 4: We are given that the speed of train Y is 10 km/h more than that of train X. If we let the speed of train X be 's', then the speed of train Y is 's + 10'.

Step 5: Therefore, we can set up the equation s + (s + 10) = 72.

Step 6: Solving this equation gives us s = 31 km/h.

Step 7: Therefore, the speed of train Y is 31 km/h + 10 km/h = 41 km/h.

So, the correct answer is 41 km/h.

This problem has been solved

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