A train travels a distance of 1000 km in 12 hours 30 minutes. What is the average speed of the train?​

Question

A train travels a distance of 1000 km in 12 hours 30 minutes. What is the average speed of the train?​

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Ruby 2 months 2021-08-13T14:22:59+00:00 1 Answer 0 views 0

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    2021-08-13T14:24:31+00:00

    Answer:

    The average speed of the train is 62.525.

    Step-by-step explanation:

    Given : A train travels a distance of 1000 km 400 m in 31:2 hours 30 minutes.

    To find : What is the average speed of the train?

    Solution :

    A train travels a distance of 1000 km 400 m.

    Converting into km,

    1 km = 1000 m

    1 m = 0.001 km

    400 m = 400\times \frac{1}{1000}=0.4400×

    1000

    1

    =0.4 km

    Total distance covered is 1000+0.4=1000.4 km

    Time taken by train is 31:2 hours 30 minutes.

    i.e. \frac{31}{2} hr +30 min

    2

    31

    hr+30min

    \frac{31}{2} hr +\frac{1}{2} hr

    2

    31

    hr+

    2

    1

    hr

    \frac{32}{2} hr=16 hours

    2

    32

    hr=16hours

    Total time taken by train is 16 hours.

    The speed of the train is

    S=\frac{D}{T}S=

    T

    D

    S=\frac{1000.4}{16}S=

    16

    1000.4

    S=62.525km/hrS=62.525km/hr

    Therefore, The average speed of the train is 62.525 km/hr.

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