A boat covers a distance of 36 km downstream in 3 hours and the same distance…

MATHEMATICS · Multi-part · CBSE · Mathematics · Determinants · Determinants

Problem

A boat covers a distance of 36 km downstream in 3 hours and the same distance upstream in 6 hours. Let vbv_b km/h denote the speed of the boat in still water and vcv_c km/h denote the speed of the current. (i) Form two linear equations in vbv_b and vcv_c based on the given information and express them in the matrix form AX=YAX=Y. (ii) Assuming the coefficient matrix is invertible, find the values of vbv_b and vcv_c.

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