A train moving with uniform speed passes a pole in 10 sec and a bridge of length 1500 m in 110 sec. Find the speed of the train in m/s16 m/s86 m/s15 m/s 42 m/s
Question
A train moving with uniform speed passes a pole in 10 sec and a bridge of length 1500 m in 110 sec. Find the speed of the train in m/s
- 16 m/s
- 86 m/s
- 15 m/s
- 42 m/s
Solution
To find the speed of the train, we can use the formula:
Speed = Distance / Time
First, let's find the distance covered by the train when it passes the pole. Since the train passes the pole in 10 seconds, we can assume that the distance covered is equal to the length of the train.
Let's denote the length of the train as L.
Distance covered when passing the pole = L
Next, let's find the distance covered by the train when it passes the bridge. The train takes 110 seconds to pass the bridge, so the distance covered is equal to the sum of the length of the train and the length of the bridge.
Let's denote the length of the bridge as B.
Distance covered when passing the bridge = L + B
We are given that the length of the bridge is 1500 meters, so B = 1500 meters.
Now, we can set up two equations using the given information:
L = Distance covered when passing the pole L + B = Distance covered when passing the bridge
Substituting the values, we have:
L = L L + 1500 = L
Simplifying the equation, we get:
1500 = 0
This is not possible, which means there is an error in the given information. Please check the values provided for the length of the bridge and the time taken to pass the bridge.
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