# Rescue at Sea

A life raft, set adrift from a sinking ship

150 miles offshore, travels directly toward a Coast Guard

station at the rate of 5 miles per hour. At the time that the

raft is set adrift, a rescue helicopter is dispatched from

the Coast Guard station. If the helicopter’s average speed is

90 miles per hour, how long will it take the helicopter to

reach the life raft?

## Consider the figure below:

Consider the figure below:

Based on the statement in the problem, the time for the helicopter to reach the rescue point is the same time for the raft to drift to that point. You will then come up with this equation:

$$90t + 5t = 150$$

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