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A train covers a certain distance in 45 minutes. If its speed is reduced by 5 km/h, it takes 3 minutes more to cover the same distance. The distance (in km) is?Options₹ 64₹ 54₹ 80₹ 60

Question

A train covers a certain distance in 45 minutes. If its speed is reduced by 5 km/h, it takes 3 minutes more to cover the same distance. The distance (in km) is?Options₹ 64₹ 54₹ 80₹ 60

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Solution

Let's solve this step by step:

Step 1: Let's denote the original speed of the train as 'x' km/h. Therefore, the reduced speed of the train is 'x-5' km/h.

Step 2: The train covers the same distance at both speeds. So, we can set up the following equation using the formula distance = speed * time:

45/60 * x = 48/60 * (x - 5)

Step 3: Simplify the equation:

45x = 48x - 240

Step 4: Solve for 'x':

240 = 3x

x = 80 km/h

Step 5: Now that we know the original speed of the train, we can find the distance it covers in 45 minutes:

distance = speed * time

distance = 80 * 45/60

distance = 60 km

So, the correct answer is ₹ 60.

This problem has been solved

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