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Question

Two cyclist start from the junction of two perpendicular roads, their velocities being 3v metres/minute and 4v metres/minute . The rate at which the two cyclists are separating is

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Solution

The correct option is **B** 5v m/min

The cyclist will be separating along the vector sum of the perpendicular velocity vectors of the two cyclists, since their speeds are constant.

Hence they will be separating at the rate

√(3v)2+(4v)2.

=5vm/min

The cyclist will be separating along the vector sum of the perpendicular velocity vectors of the two cyclists, since their speeds are constant.

Hence they will be separating at the rate

√(3v)2+(4v)2.

=5vm/min

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