Solve the Problem $S$ (In Mph) of a Vehicle Traveling a Distance Of

question 161

Multiple Choice

Solve the problem.
-The average round trip speed $S$ (in mph) of a vehicle traveling a distance of $d$ miles in each direction is given by $\mathrm { S } = \frac { 2 d } { \frac { d } { r _ { 1 } } + \frac { d } { r _ { 2 } } }$ where $r _ { 1 }$ and $r _ { 2 }$ are the rates of speed for the initial trip and the return trip, respectively. Suppose a motorist travels 100 miles to an event and averages 50 mph for the trip to the event. Determine the average speed necessary for the return trip if the motorist wants the average
Speed for the round trip to be at least 60 mph. Round to one decimal place, if necessary.

• A) The motorist must average a speed of at least 65 mph on the return trip.
• B) The motorist must average a speed of at least 70 mph on the return trip.
• C) The motorist must average a speed of at least 55 mph on the return trip.
• D) The motorist must average a speed of at least 75.0 mph on the return trip.

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Definitions:

Intentional Tort

A wrongful act done on purpose that causes harm to another, including acts such as assault, battery, and defamation, as distinguished from negligence.

False Imprisonment

The intentional confinement or restraint of a person against his or her will.

Tort Claim

A legal claim arising from an act or omission that causes injury or harm to another, allowing the injured party to seek compensation.

Evidence

Information or objects presented in court to prove or disprove facts in a legal case.