State true or false.The houses of Sudhir and Ashok are located at 7,3  and  4,4   respectively. Their office is located at 2,2  . If they leave their houses at the same time in the morning and also reach office in time, Sudhir travels faster.

State true or false.The houses of Sudhir and Ashok are located at   respectively. Their office is located at  . If they leave their houses at the same time in the morning and also reach office in time, Sudhir travels faster.

1. A
True
2. B
False

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Solution:

Given that, the location of Sudhir and Ashok houses are at  .
Their office is in (2, 2).
We shall first calculate the distance between the locations.
The distance formula between two points   is given by,

Distance between Sudhir's house and office.
Here,

Distance between Ashok’s house and office:
Here,

Distance between Ashok's house and office is given by,
Since, they are taking same time, but the distance for Sudhir > the distance for Ashok. But they reach office at the same time.
So, Sudhir travels faster.
Hence, the statement is true.
Hence, option 1 is correct.

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