Answer
\[t=\frac{S-P}{pr}\]
Work Step by Step
The given formula is:
\[S=P+prt\]
Simplify the given equation for t
\[\begin{align}
& S-P=prt \\
& t=\frac{S-P}{rp} \\
\end{align}\]
This is a formula for accumulated amount S which is equal to the principal amount P and its simple interest prt generated in time t years.
The value of t for the equation \[S=P+prt\]is \[t=\frac{S-P}{pr}\]
