SOLUTION: At noon one day, Corey decided to follow a straight course in a motor boat. After one hour of making no turns and traveling at a steady rate, the boat was 6 miles east and 8 miles

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Question 1073286: At noon one day, Corey decided to follow a straight course in a motor boat. After one hour of making no turns and traveling at a steady rate, the boat was 6 miles east and 8 miles north of its point of departure, thus, traveling 10 miles in a north east direction. After 2 hours, he travels double the distance, while maintaining his speed of 10 mph.

Assume that the fuel tank initially held 12 gallons, and that the boat gets 4 miles to the gallon. How far did Corey get before running out of fuel? When did this happen? When radioing the Coast Guard for help, how should Corey describe the boat's position?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
No change in speed and no change of direction for the whole 2 hour period. Distance traveled was 20 miles.


FUEL
20%2Amiles%2A%281%2F4%29%28gallons%2Fmile%29=5%2Agallons this much used in 2 hours time.

He ran out of fuel, so this was AFTER the two-hour period.
That should account for 7 gallons of fuel used after the first two-hour period. The additional miles of distance:
7%2Agallons%2A4%2A%28miles%2Fgallon%29
28%2Amiles

The total distance gone in the same direction was 20%2B28=48%2Amiles.

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