SOLUTION: A plane crashes 330 miles from shore. The survivors climb in a raft and drift toward shore at 4 mph. A coast guard ship was sent to find them at the same moment they began to drift

Question 159352: A plane crashes 330 miles from shore. The survivors climb in a raft and drift toward shore at 4 mph. A coast guard ship was sent to find them at the same moment they began to drift. The ship travels at 80 mph.
a) How long until the ship meets the raft?
b) How far from the shore are they?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A plane crashes 330 miles from shore. The survivors climb in a raft and drift toward shore at 4 mph. A coast guard ship was sent to find them at the same moment they began to drift. The ship travels at 80 mph.
a) How long until the ship meets the raft?
b) How far from the shore are they?
---------------------
a) The combined speed is 4 mph + 80 mph = 84 mph
330/84 = 55/14 hours = 3 hours & 55.7 mins
-------------
b) The boat travels 80 mph for 55/14 hours
Distance = 80*55/14 miles
= 314.29 miles
BTW, that's a damn fast boat.
RELATED QUESTIONS
A small boat sends a distress signal giving its location as 10 miles from shore in choppy (answered by greenestamps)

A life raft, set adrift from a sinking ship 150 miles offshore, travels directly toward a (answered by ikleyn)

1. A search plane has a cruising speed of 250 miles per hour and carries enough fuel for... (answered by ikleyn)

: a sailboat is taking on water during a storm and is in danger of sinking. after calling (answered by josgarithmetic)

An aircraft carrier is travelling toward shore at the rate of 25 mph. At 3:30 pm, when... (answered by Boreal)

A lighthouse and Coast Guard rescue boat are located 25 miles apart. One evening, the... (answered by ikleyn)

from an h=63 feet observation tower on the coast, a coast guard sights a boat. the angle... (answered by ankor@dixie-net.com)

Two coast guard ships, the Alpha and the Beta, are 3000ft apart. The angles from a line... (answered by stanbon)

Two coast guard ships, the Alpha and the Beta, are 3000ft apart. The angles from a line... (answered by greenestamps)