I need help solving this indefinite integrals problem? I am doing indefinite integrals homework, and this problem popped up. I hate to post on here without any personal insight on the problem, but I really have no idea on how to approach this.I do not know what to do with the information given. Any insight on how to solve the problem is what I am looking for, not specifically an answer. Thanks for all the help in advance. 
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Kaitlyn drops a stone into a well. Approximately $4.61$sec later, she hears the splash made by the impact of the stone in the water. How deep is the well? (The speed of sound is approximately $1128$ ft./sec. Round your answer to the nearest foot.)

Here's a hint:
The total time between dropping the stone and hearing the splash can be broken down into two parts:


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*The time it takes for the stone to hit the water after being released from your hand ($t_1$)

*The time it takes for the sound of the splash to reach your ear ($t_2$)


You can write down an equation in terms of the height of the well, $h$, for each part, in terms of the time consumed on each part.  You can write an equation for the known total time, $T$, in terms of the individual times.
Three equations, three unknowns ($t_1, t_2, h$).
