1. ## 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 the raft is set adrift, a rescue helicopter is dispatched from the Coast Guard station. If the helicopter's average speed is 90 mph, how long will it take the helicopter to reach the life raft?

Let x = length of time it takes the helicopter to reach the life draft.

Raft Toward Coast Guard

Distance = 150 miles
rate = 5 mph
time = x

Coast Guard Toward Raft

Distance = 150 miles
rate = 90 mph
time = x

My equation is 5x + 90x = 150.

My answer for x is 1.59. The book's answer is 1 hour, 35 minutes.

What did I do wrong?

2. ## Re: Rescue At Sea

1.59(hr) * 60(min) = ~95 min = 1 hr 35 min

You were correct and deserve a pink star to be stuck on your forehead...

Btw, you could have done this quickly by distance / speed = time:
150 miles travelled, combined speed of 95: 150 / 95

3. ## Re: Rescue At Sea

Originally Posted by DenisB
1.59(hr) * 60(min) = ~95 min = 1 hr 35 min

You were correct and deserve a pink star to be stuck on your forehead...

Btw, you could have done this quickly by distance / speed = time:
150 miles travelled, combined speed of 95: 150 / 95
Cool. I will post daily word problems (no more than 2). My goal is to "master" the skill of converting word problems to the language of algebra leading to the right equation(s).