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A train 120m long moving on a straight and level track with uniform speed passes a pole in 6 seconds. Find the time it will take to cross a 50 m long bridge.
- a)9.5 second.
- b)9 second
- c)8 second
- d)8.5 second
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A train 120m long moving on a straight and level track with uniform sp...
The speed of train = 120 m /6 = 20 m/s.
Time taken to cross a 50 m long bridge = (120 m + 50 m)/20 = 170/20 = 8.5 second.
Most Upvoted Answer
A train 120m long moving on a straight and level track with uniform sp...
Understanding the Problem
To determine the time it takes for the train to cross a 50m long bridge, we first need to calculate the speed of the train.
Step 1: Calculate the Speed of the Train
- The train is 120m long.
- It passes a pole in 6 seconds.
Speed Calculation:
- Speed = Distance / Time
- Distance = Length of the train = 120m
- Time = 6 seconds
Hence, Speed = 120m / 6s = 20m/s.
Step 2: Find the Total Distance to Cross the Bridge
When the train crosses a bridge, it needs to cover the length of the train plus the length of the bridge.
Total Distance:
- Length of the train = 120m
- Length of the bridge = 50m
Total Distance = 120m + 50m = 170m.
Step 3: Calculate the Time to Cross the Bridge
Now we can find the time taken to cross the bridge using the speed we calculated.
Time Calculation:
- Time = Distance / Speed
- Distance = 170m
- Speed = 20m/s
Therefore, Time = 170m / 20m/s = 8.5 seconds.
Conclusion
Thus, the time it will take for the train to cross the 50m long bridge is 8.5 seconds, which corresponds to option 'D'.
To determine the time it takes for the train to cross a 50m long bridge, we first need to calculate the speed of the train.
Step 1: Calculate the Speed of the Train
- The train is 120m long.
- It passes a pole in 6 seconds.
Speed Calculation:
- Speed = Distance / Time
- Distance = Length of the train = 120m
- Time = 6 seconds
Hence, Speed = 120m / 6s = 20m/s.
Step 2: Find the Total Distance to Cross the Bridge
When the train crosses a bridge, it needs to cover the length of the train plus the length of the bridge.
Total Distance:
- Length of the train = 120m
- Length of the bridge = 50m
Total Distance = 120m + 50m = 170m.
Step 3: Calculate the Time to Cross the Bridge
Now we can find the time taken to cross the bridge using the speed we calculated.
Time Calculation:
- Time = Distance / Speed
- Distance = 170m
- Speed = 20m/s
Therefore, Time = 170m / 20m/s = 8.5 seconds.
Conclusion
Thus, the time it will take for the train to cross the 50m long bridge is 8.5 seconds, which corresponds to option 'D'.
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A train 120m long moving on a straight and level track with uniform speed passes a pole in 6 seconds. Find the time it will take to cross a 50 m long bridge.a)9.5 second.b)9 secondc)8 secondd)8.5 secondCorrect answer is option 'D'. Can you explain this answer?
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