SOLUTION: An aircraft carrier left the pier traveling east eight hours before a fishing boat. The fishing boat traveled in the opposite direction for four hours, going 5 mph slower than the

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Question 458868: An aircraft carrier left the pier traveling east eight hours before a fishing boat. The fishing boat traveled in the opposite direction for four hours, going 5 mph slower than the aircraft carrier. The ships were then 380 miles apart. What was the aircraft carrier's speed?
Thank you!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An aircraft carrier left the pier traveling east eight hours before a fishing boat. The fishing boat traveled in the opposite direction for four hours, going 5 mph slower than the aircraft carrier. The ships were then 380 miles apart. What was the aircraft carrier's speed?
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Carrier DATA:
time = 12 hrs ; rate = r mph ; distance = 12r miles
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Boat DATA:
time = 4 hrs ; rate = r-5 mph ; distance = 4(r-5) miles
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Equation:
distance + distance = 380
12r + 4(r-5) = 380
12r + 4r -20 = 380
16r = 400
r = 25 mph (carrier speed)
r-5 = 20 mph (fishing boat speed)
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cheers,
Stan H.