The Fastest Route of Drug Distribution

Explanation:

Out of the listed options, intravenous administration allows for the fastest rate of drug distribution. When a drug is administered intravenously, it is injected directly into a vein and therefore enters the bloodstream immediately. This means that intravenous administration results in high plasma levels of the drug very rapidly.

In contrast, subcutaneous, intramuscular, and transcutaneous routes involve injection or application of the drug into body tissues (under the skin, into muscle, or through the skin, respectively), and the drug must then be absorbed into the bloodstream from these locations. This process is slower than direct injection into a vein, so the rate of distribution is slower for these routes than for intravenous administration.

Therefore, if rapid drug distribution is desired, such as in emergency situations where immediate effects are necessary, intravenous administration is the preferred route.