AM-1737

Connected rates of change

A Math · Secondary 4 · Hard · Connected rates of change

A particle moves along the curve

y=\dfrac{4x-5}{x-1}

. At an instant when

x\neq1

, the

x

-coordinate is increasing at a rate of

3

units s

^{-1}

. If the

y

-coordinate is decreasing at a rate of

2

units s

^{-1}

, find the value of

x

at that instant.

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