Question

The number of hours, t, it takes a boat to travel 15 miles upstream is represented
by the given equation.
15
t=
r-c
Which equation represents the rate of the current, c, in terms of r, the rate of the
boat, and t?
A.
15 - rt
CE
15-16
BC=
rt - 15
c = - 7
C. C= -15+r+t
D. C = 15 -r-t

Answer 1

The equation of c is an illustration of subject of formula

The equation of c in terms of r and t is c = r - 15/t

How to determine the equation?

The equation is given as:

t = 15/(r - c)

Cross multiply

t(r - c) = 15

Divide both sides by t

r - c = 15/t

Subtract r from both sides

-c = -r + 15/t

Multiply both sides by -1

c = r - 15/t

Take LCM

$c = \frac{rt - 15}{t}$

Hence, the equation of c in terms of r and t is $c = \frac{rt - 15}{t}$

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