SOLUTION: A fishing trawler radioed the Coast Guard for a helicopter. The helicopter left the station when the trawler was 600 km away headed towards the station. Average speed of the trawle

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Question 1037950: A fishing trawler radioed the Coast Guard for a helicopter. The helicopter left the station when the trawler was 600 km away headed towards the station. Average speed of the trawler is 30km/hr and helicopter speed is 300 km/hr. How long does it take the helicopter to reach the trawler?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of this as one of them ( either one )
standing still and the other moving at the sum of their speeds
Let +t+ = time in hrs for helicopter to reach trawler
-----------------------
+600+=+%28+30+%2B+300+%29%2At+
+600+=+330t+
+t+=+1.8181+ hrs
+.8181%2A60+=+49.0909+
+.0909%2A60+=+5.45+
It takes the helicopter 1 hr 49 min 5 sec
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check:
Equation for the trawler:
+d%5B1%5D+=+30%2A1.8182+
+d%5B1%5D+=+54.546+
and
Equation for the helicopter:
+d%5B2%5D+=+300%2A1.8182+
+d%5B2%5D+=+545.454+
-------------------------
+d%5B1%5D+%2B+d%5B2%5D+=+54.546+%2B+545.454+
+d%5B1%5D+%2B+d%5B2%5D+=+600+
OK