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.

a. 2.3 barrel

Question

Mathematics

Kenneth Simpson

10 March, 04:22

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.

a. 2.3 barrel

+1

Answers (2)

Know the Answer?

Ana Sharp · Answer 1

A = kdv^2 where A = amount oil d = distance and v = speed and k is a constant

so

30 = k*85*42^2

Now solve for k:-

k = 30 / (85*42^2) = 0.00020008

So when d = 26 and v = 54

Amount of oil A = 0.00020008 * 26*54^2

= 15.2 barrels

Marlie Macias · Answer 2

The answer is 5.2!