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Two trains, Calcutta Mail and Bombay Mail, start at the same time from stations Kolkata and Mumbai respectively towards each other. After passing each other, they take 12 hours and 3 hours to reach Mum- bai and Kolkata respectively. If the Calcutta Mail is moving at the speed of 48 km/h, the speed of the?
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?Two trains, Calcutta Mail and Bombay Mail, start at the same time fro...
Introduction:
In this problem, we are given two trains, Calcutta Mail and Bombay Mail, which start at the same time from Kolkata and Mumbai respectively. We are also given the time it takes for each train to reach its destination after passing each other. The speed of Calcutta Mail is given, and we need to find the speed of Bombay Mail.

Approach:
To solve this problem, we can use the concept of relative speed. The relative speed of two objects moving in opposite directions is the sum of their individual speeds. Using this concept, we can calculate the speed of Bombay Mail.

Calculating the Speed of Bombay Mail:
Let's assume the speed of Bombay Mail is 'x' km/h.

When the two trains pass each other, the total distance covered by both trains is the sum of the distances covered by each train individually.

Since the time taken by Calcutta Mail to reach Mumbai is 12 hours, and its speed is given as 48 km/h, we can calculate the distance covered by Calcutta Mail as:
Distance = Speed * Time
Distance covered by Calcutta Mail = 48 km/h * 12 hours = 576 km

Similarly, since the time taken by Bombay Mail to reach Kolkata is 3 hours, we can calculate the distance covered by Bombay Mail as:
Distance covered by Bombay Mail = x km/h * 3 hours = 3x km

The total distance covered by both trains is equal to the sum of their individual distances, which is 576 km + 3x km.

Since the total distance covered by both trains is the same, regardless of the direction they are moving in, we can equate the distance covered by Calcutta Mail to the distance covered by Bombay Mail:

576 km = 3x km

Solving this equation, we can find the value of x, which represents the speed of Bombay Mail.

Conclusion:
By solving the equation 576 km = 3x km, we can find the speed of Bombay Mail. This approach allows us to calculate the speed of Bombay Mail based on the given information about Calcutta Mail and the time taken by each train to reach their respective destinations after passing each other.
Community Answer
?Two trains, Calcutta Mail and Bombay Mail, start at the same time fro...
96km/h
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?Two trains, Calcutta Mail and Bombay Mail, start at the same time from stations Kolkata and Mumbai respectively towards each other. After passing each other, they take 12 hours and 3 hours to reach Mum- bai and Kolkata respectively. If the Calcutta Mail is moving at the speed of 48 km/h, the speed of the?
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