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    Speed of train is 55 km/hr. The length of train is 800 metre. In how much time can it cross a 1400 metre long platform?
    Question

    Speed of train is 55 km/hr. The length of train is 800 metre. In how much time can it cross a 1400 metre long platform?

    A.

    132 seconds

    B.

    96 seconds

    C.

    124 seconds

    D.

    144 seconds

    Correct option is D

    Given:

    Length of train = 800 m
    Speed of train = 55 km/h
    Length of platform = 1400 m
    Formula Used:
    Speed = (Length of train + Length of platform)/Time
    Solution:
    Speed=Length of Train+Length of PlatformTime Speed=800+1400Time =>55×5181=2200Time =>Time=2200×1855×5 =>Time=39600275 =>Time=144 seconds\text{Speed} = \frac{\text{Length of Train} + \text{Length of Platform}}{\text{Time}} \\\ \\\text{Speed} = \frac{800 + 1400}{\text{Time}} \\\ \\\Rightarrow \frac{55 \times \frac{5}{18}}{1} = \frac{2200}{\text{Time}} \\\ \\\Rightarrow \text{Time} = \frac{2200 \times 18}{55 \times 5} \\\ \\\Rightarrow \text{Time} = \frac{39600}{275} \\\ \\\Rightarrow \text{Time} = 144 \ \text{seconds}​​

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