SOLUTION: The amount of oil used by a ship traveling at a uniform speed varies jointly with the distance and the square of the speed. The ship uses 30 barrels of oil in traveling 85 miles at

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The amount of oil used by a ship traveling at a uniform speed varies jointly with the distance and the square of the speed. The ship uses 30 barrels of oil in traveling 85 miles at      Log On


   

Question 1112999: The amount of oil used by a ship traveling at a uniform speed varies jointly with the distance and the square of the speed. The ship uses 30 barrels of oil in traveling 85 miles at 42 mi/h. How many barrels of oil are used when the ship travels 26 miles at 54 mi/h? Round your answer to the nearest tenth of a barrel, if necessary.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
v, barrels oil
r, speed
d, distance miles
k, constant
v=k%2Ar%5E2%2Ad

k=v%2F%28d%2Ar%5E2%29
k=30%2F%2885%2A42%5E2%29
k=0.000200

highlight%28v=0.000200%2Ad%2Ar%5E2%29
For the question, substitute r=54 and d=26 and evaluate v.