SOLUTION: A single-engine airplane carries enough fuel for an 8-hour flight. After the airplane has been flying for 1 h, the fuel tank begins to leak at a rate that would empty the tank in 1

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Question 727999: A single-engine airplane carries enough fuel for an 8-hour flight. After the airplane has been flying for 1 h, the fuel tank begins to leak at a rate that would empty the tank in 12 h. How long after the leak begins does the plane have until it runs out of fuel?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The plane flies for 1 hr, so it has
+8+-+1+=+7+ hrs of fuel left
This is +7%2F8+ of a tankful
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This is similar to a +d+=+r%2At+ problem
( 7/8 of a tank ) = [ ( 1 tankful / 12 hrs ) + ( 1 tankful / 8 hrs ) ] x time in hrs
Note that the plane is using fuel at the normal rate plus rate due to leak
+7%2F8+=+%28+1%2F12+%2B+1%2F8+%29%2At+
Multiply both sides by +24+
+3%2A7+=+%28+2+%2B+3+%29%2At+
+t+=+21%2F5+
+t+=+4.2+ hrs
The plane will run out of fuel in 4.2 hrs after leak begins