A 150 m long train is moving with a uniform velocity of 45 km/hr. The ...
45kmph = 45×5/18 =12.5m/s
total length covered by train= 850m+150m=1000m
velocity=Dispacement/ time
t= s/v
t= 1000m/ 12.5m/s
t= 80s
time is taken to cross the bridge is 80 seconds
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A 150 m long train is moving with a uniform velocity of 45 km/hr. The ...
**Given:**
- Length of the train = 150 m
- Velocity of the train = 45 km/hr
- Length of the bridge = 850 m
**To find:**
- Time taken by the train to cross the bridge
**Formula:**
- Speed = Distance/Time
**Explanation:**
Let's break down the problem into two parts:
1. The time taken by the train to cross its own length
2. The time taken by the train to cross the bridge
**1. Time taken by the train to cross its own length:**
- We know that the speed of the train is 45 km/hr.
- To convert it to m/s, we multiply it by 5/18.
- So, the speed of the train is (45 * 5/18) m/s = (25/2) m/s.
- The distance to be covered is the length of the train = 150 m.
- Using the formula Speed = Distance/Time, we can find the time taken.
- (25/2) = 150/Time
- Time = (150 * 2)/25 = 12 sec
**2. Time taken by the train to cross the bridge:**
- We know that the length of the bridge is 850 m.
- The train has already crossed its own length, so we need to find the time taken to cover the distance of the bridge.
- The length of the train has no effect on the time taken to cross the bridge.
- Therefore, the time taken to cross the bridge will be the same as the time taken to cover a distance of 850 m.
- Using the formula Speed = Distance/Time, we can find the time taken.
- (25/2) = 850/Time
- Time = (850 * 2)/25 = 68 sec
Hence, the correct answer is option 'C' - 80 sec.
A 150 m long train is moving with a uniform velocity of 45 km/hr. The ...
45kmph=45×185=12.5m/s
total length covered by train=850m+150m=1000m
velocity=timeDispacement
t=vs
t=(12.5m/s)1000m
t=80s
time is taken to cross the bridge is 80 seconds
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