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A train of length 600 metre crosses a pl...

A train of length 600 metre crosses a platform of length 1000 metre in 80 seconds. What is the speed (in m/s) of the train?

A

20

B

72

C

16

D

36

Text Solution

AI Generated Solution

The correct Answer is:
To find the speed of the train, we can follow these steps: ### Step 1: Calculate the total distance the train travels while crossing the platform. The total distance is the sum of the lengths of the train and the platform. - Length of the train = 600 meters - Length of the platform = 1000 meters Total distance = Length of the train + Length of the platform Total distance = 600 meters + 1000 meters = 1600 meters ### Step 2: Identify the time taken to cross the platform. The time taken for the train to cross the platform is given as 80 seconds. ### Step 3: Calculate the speed of the train. Speed is calculated using the formula: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \] Substituting the values we have: \[ \text{Speed} = \frac{1600 \text{ meters}}{80 \text{ seconds}} \] ### Step 4: Perform the division to find the speed. \[ \text{Speed} = 20 \text{ m/s} \] Thus, the speed of the train is **20 m/s**. ---
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