A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Question
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Solution 1
Sure, here is the step by step solution:
Step 1: Convert the speed from km/hr to m/s. We know that 1 km/hr = 5/18 m/s. So, 60 km/hr = 60 * (5/18) = 16.67 m/s.
Step 2: The time taken to cross the pole is given as 9 seconds.
Step 3: The length of the train can be found by multiplying the speed of the train by the time taken to cross. This is because Speed = Distance/Time, which implies that Distance = Speed * Time.
Step 4: Therefore, the length of the train = Speed * Time = 16.67 m/s * 9 s = 150.03 m.
So, the length of the train is approximately 150 meters.
Solution 2
Sure, here is the step by step solution:
Step 1: Convert the speed from km/hr to m/s. We know that 1 km/hr = 5/18 m/s. So, 60 km/hr = 60 * (5/18) = 50/3 m/s.
Step 2: The time taken to cross the pole is given as 9 seconds.
Step 3: The length of the train is the distance covered by the train in this time. We know that distance = speed * time. So, the length of the train = 50/3 m/s * 9 s = 150 m.
So, the length of the train is 150 meters.
Solution 3
Sure, here is the step by step solution:
Step 1: Convert the speed from km/hr to m/s. We know that 1 km/hr = 5/18 m/s. So, 60 km/hr = 60 * (5/18) = 16.67 m/s.
Step 2: The time taken to cross the pole is given as 9 seconds.
Step 3: The length of the train can be found using the formula: Speed = Distance/Time. We can rearrange this to find Distance (which in this case is the length of the train) = Speed * Time.
Step 4: Substituting the values we have: Length of the train = Speed * Time = 16.67 m/s * 9 s = 150.03 m.
So, the length of the train is approximately 150 meters.
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