Solve Upper Q equals StartFraction d Over c plus t EndFraction for t

Question

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Answer 1

To solve for \( t \) in the equation

\[ Q = \frac{d}{c + t}, \]

we can follow these steps:

1. Multiply both sides by \( c + t \) to eliminate the fraction:

\[ Q(c + t) = d. \]

2. Expand the left side:

\[ Qc + Qt = d. \]

3. Isolate the term with \( t \) on one side:

\[ Qt = d - Qc. \]

4. Finally, divide by \( Q \) to solve for \( t \):

\[ t = \frac{d - Qc}{Q}. \]

Thus, the solution for \( t \) is:

\[ t = \frac{d - Qc}{Q}. \]