Ramesh sees a train passing over 1 km long bridge. The length of the train is half that of brid

Step 1: Identify the length of the bridge and the train. The length of the bridge is given as (1

Ramesh sees a train passing over 1 km long bridge. The...

Ramesh sees a train passing over $1 \mathrm{~km}$ long bridge. The length of the train is half that of bridge. If the train clears the bridge in 2 minutes, the speed of the train is (a) $45 \mathrm{~km} / \mathrm{hr}$ (b) $43 \mathrm{~km} / \mathrm{hr}$ (c) $50 \mathrm{~km} / \mathrm{hr}$ (d) None of these

Ramesh sees a train passing over $1 \mathrm{~km}$ long bridge. The length of the train is half that of bridge. If the train clears the bridge in 2 minutes, the speed of the train is
(a) $45 \mathrm{~km} / \mathrm{hr}$
(b) $43 \mathrm{~km} / \mathrm{hr}$
(c) $50 \mathrm{~km} / \mathrm{hr}$
(d) None of these

Key Concepts

Unit Conversion

Unit conversion is a key concept when dealing with quantities expressed in different units, such as time in minutes and speed in kilometers per hour. Correctly converting measurements ensures consistency and accuracy in the calculations necessary for solving problems in motion.

Relative Distance in Clearance Problems

In problems involving a moving object passing a fixed structure, it is important to account for the entire length that must be cleared. This strategy involves adding the lengths of both the moving object and the stationary structure to obtain the total distance that the object travels while completely passing the structure.

Uniform Linear Motion

Uniform linear motion refers to movement at a constant speed in a straight line. In problems like this, where the train maintains a constant speed while passing over a bridge, the relationship between distance, speed, and time is straightforward, allowing the use of formulas such as distance = speed × time to set up equations that solve for the unknown quantity.

Distance-Speed-Time Relationship

The distance-speed-time relationship is a fundamental concept in kinematics where the travel distance can be expressed as the product of speed and time. In clearance problems, the total distance covered is often the sum of the lengths of moving objects (like the train) and stationary objects (like the bridge), and knowing the time taken to cover this distance allows one to compute the speed.

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