# Solution: At what speed will the boat run against a current to go a given distance most economically?

The cost per hour of running a motor boat is proportional to the cube of the speed. At what speed will the boat run against a current of 8 km/hr in order to go a given distance most economically?

#### Problem Statement: EE Board October 1992

The cost per hour of running a motor boat is proportional to the cube of the speed. At what speed will the boat run against a current of 8 km/hr in order to go a given distance most economically?
• A. 10 kph
• B. 13 kph
• C. 11 kph
• D. 12 kph

The speed will the boat run against a current of 8 km/hr in order to go a given distance most economically is 12 kph

Solution:

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