A train covers half of its journey with a speed of 30 m/s and other half with a speed of 40 m/s.Calculate it’s average speed for the entire journey.

Sure, here's how you can calculate the average speed for the entire journey:

Step 1: Understand the problem The train covers half of its journey at 30 m/s and the other half at 40 m/s. We need to find the average speed for the entire journey.

Step 2: Use the formula for average speed The formula for average speed is total distance divided by total time.

Step 3: Calculate the total distance Since the train covers half of its journey at each speed, the total distance is simply the sum of these two distances. Let's assume the total distance of the journey is D. So, each half of the journey is D/2.

Step 4: Calculate the total time The time taken for each half of the journey is distance divided by speed. So, the time taken for the first half is (D/2)/30 and for the second half is (D/2)/40.

Step 5: Substitute the values into the formula Average speed = Total distance / Total time = D / [(D/2)/30 + (D/2)/40]

Step 6: Simplify the equation After simplifying, you will get the average speed as 2D / [(D/30) + (D/40)] = 2D / [(4D/120) + (3D/120)] = 2D / [(7D/120)] = 2D * (120/7D) = 240/7 m/s

So, the average speed of the train for the entire journey is 240/7 m/s or approximately 34.29 m/s.