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Ques:- A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
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A. 7.5%
B. 9.5%
C. 10.5%
D. none
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Ques:- Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
Ques:- A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A. 120 metres
B. 150 metres
C. 180 metres
D. 200 metres
Right Answer:
We are given:
-
Speed of the train = 60 km/hr
-
Time to cross a pole = 9 seconds
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We are to find the length of the train
🧠 Concept:
When a train crosses a pole, the distance covered = length of the train.
So,
Distance=Speed×Time\text{Distance} = \text{Speed} × \text{Time}
But we must ensure that the speed and time are in the same units.
🔄 Step 1: Convert speed to m/s
To convert km/h to m/s, multiply by 5/18:
60 km/hr=60×518=30018=16.67 m/s60 \text{ km/hr} = 60 × \frac{5}{18} = \frac{300}{18} = 16.67 \text{ m/s}
🔢 Step 2: Use the formula
Length of train=Speed×Time=16.67×9≈150 meters\text{Length of train} = \text{Speed} × \text{Time} = 16.67 × 9 ≈ 150 \text{ meters}
✅ Final Answer:
The length of the train is 150 meters.
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