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Q.

A long horizontal belt is moving from left to right with a uniform speed of 2 m/s. There are two ink marks A and B on the belt 60 m apart. An insect runs on the belt to and fro between A and B such that its speed relative to belt is constant and equals 4 m/s, if A lies to the left of B, then

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a

Time taken by insect to travel from A to B and time taken by it to travel from B to A are equal.

b

Time taken by insect to travel from A to B is less than the time taken by it to travel from B to A.

c

Time taken by insect to travel from A to B is more than the time taken by it to travel from B to A.

d

None of the above

answer is A.

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Detailed Solution

A and B both are the marks on belt and are not moving relative to belt. So the distance that is needed to covered by insect is equal in both cases.

Relative speed of insect is constant in moving from A to B or B to A. This time is,
t=d relative speed 
=604=15 s

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